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Finding the Fourth Proportional to 402.48, 603.17 and 362.52

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Solution

The fourth proportional to 402.48, 603.17 and 362.52 is: 543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.48 : 603.17 = 362.52 : x
  2. Step 2: Convert to fraction form
    402.48/603.17 = 362.52/x
  3. Step 3: Cross multiply
    402.48x = 603.17 × 362.52
  4. Step 4: Simplify right side
    402.48x = 218,661.19
  5. Step 5: Solve for x
    x = 218,661.19/402.48
  6. Step 6: Final answer
    x = 543.28

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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.