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Finding the Fourth Proportional to 402.62, 603.80 and 142.54

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Solution

The fourth proportional to 402.62, 603.80 and 142.54 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.62 : 603.80 = 142.54 : x
  2. Step 2: Convert to fraction form
    402.62/603.80 = 142.54/x
  3. Step 3: Cross multiply
    402.62x = 603.80 × 142.54
  4. Step 4: Simplify right side
    402.62x = 86,065.65
  5. Step 5: Solve for x
    x = 86,065.65/402.62
  6. Step 6: Final answer
    x = 213.76

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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.