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Finding the Fourth Proportional to 402.16, 603.33 and 128.27

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Solution

The fourth proportional to 402.16, 603.33 and 128.27 is: 192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 603.33 = 128.27 : x
  2. Step 2: Convert to fraction form
    402.16/603.33 = 128.27/x
  3. Step 3: Cross multiply
    402.16x = 603.33 × 128.27
  4. Step 4: Simplify right side
    402.16x = 77,389.14
  5. Step 5: Solve for x
    x = 77,389.14/402.16
  6. Step 6: Final answer
    x = 192.43

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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.