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Finding the Fourth Proportional to 764.14, 1,146.20 and 244.12

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Solution

The fourth proportional to 764.14, 1,146.20 and 244.12 is: 366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.14 : 1,146.20 = 244.12 : x
  2. Step 2: Convert to fraction form
    764.14/1,146.20 = 244.12/x
  3. Step 3: Cross multiply
    764.14x = 1,146.20 × 244.12
  4. Step 4: Simplify right side
    764.14x = 279,810.34
  5. Step 5: Solve for x
    x = 279,810.34/764.14
  6. Step 6: Final answer
    x = 366.18

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Double scale
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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.