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Finding the Fourth Proportional to 501.48, 752.15 and 136.26

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Solution

The fourth proportional to 501.48, 752.15 and 136.26 is: 204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 752.15 = 136.26 : x
  2. Step 2: Convert to fraction form
    501.48/752.15 = 136.26/x
  3. Step 3: Cross multiply
    501.48x = 752.15 × 136.26
  4. Step 4: Simplify right side
    501.48x = 102,487.28
  5. Step 5: Solve for x
    x = 102,487.28/501.48
  6. Step 6: Final answer
    x = 204.37

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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.