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Finding the Fourth Proportional to 501.44, 751.61 and 193.15

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Solution

The fourth proportional to 501.44, 751.61 and 193.15 is: 289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 751.61 = 193.15 : x
  2. Step 2: Convert to fraction form
    501.44/751.61 = 193.15/x
  3. Step 3: Cross multiply
    501.44x = 751.61 × 193.15
  4. Step 4: Simplify right side
    501.44x = 145,172.08
  5. Step 5: Solve for x
    x = 145,172.08/501.44
  6. Step 6: Final answer
    x = 289.51

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Similar ratio
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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.