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Finding the Fourth Proportional to 402.12, 602.96 and 142.07

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Solution

The fourth proportional to 402.12, 602.96 and 142.07 is: 213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 602.96 = 142.07 : x
  2. Step 2: Convert to fraction form
    402.12/602.96 = 142.07/x
  3. Step 3: Cross multiply
    402.12x = 602.96 × 142.07
  4. Step 4: Simplify right side
    402.12x = 85,658.80
  5. Step 5: Solve for x
    x = 85,658.80/402.12
  6. Step 6: Final answer
    x = 213.02

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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.