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Finding the Fourth Proportional to 402.49, 603.84 and 128.59

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Solution

The fourth proportional to 402.49, 603.84 and 128.59 is: 192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.49 : 603.84 = 128.59 : x
  2. Step 2: Convert to fraction form
    402.49/603.84 = 128.59/x
  3. Step 3: Cross multiply
    402.49x = 603.84 × 128.59
  4. Step 4: Simplify right side
    402.49x = 77,646.60
  5. Step 5: Solve for x
    x = 77,646.60/402.49
  6. Step 6: Final answer
    x = 192.91

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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.