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Finding the Fourth Proportional to 402.08, 602.80 and 128.02

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Solution

The fourth proportional to 402.08, 602.80 and 128.02 is: 191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.08 : 602.80 = 128.02 : x
  2. Step 2: Convert to fraction form
    402.08/602.80 = 128.02/x
  3. Step 3: Cross multiply
    402.08x = 602.80 × 128.02
  4. Step 4: Simplify right side
    402.08x = 77,170.46
  5. Step 5: Solve for x
    x = 77,170.46/402.08
  6. Step 6: Final answer
    x = 191.93

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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.