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Finding the Fourth Proportional to 901.51, 1,352.23 and 252.25

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Solution

The fourth proportional to 901.51, 1,352.23 and 252.25 is: 378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.51 : 1,352.23 = 252.25 : x
  2. Step 2: Convert to fraction form
    901.51/1,352.23 = 252.25/x
  3. Step 3: Cross multiply
    901.51x = 1,352.23 × 252.25
  4. Step 4: Simplify right side
    901.51x = 341,096.01
  5. Step 5: Solve for x
    x = 341,096.01/901.51
  6. Step 6: Final answer
    x = 378.36

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Half scale
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Double scale
Find fourth proportional to 902.51, 1,353.73 and 253.25
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.