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Finding the Fourth Proportional to 431.33, 646.89 and 142.73

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Solution

The fourth proportional to 431.33, 646.89 and 142.73 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.33 : 646.89 = 142.73 : x
  2. Step 2: Convert to fraction form
    431.33/646.89 = 142.73/x
  3. Step 3: Cross multiply
    431.33x = 646.89 × 142.73
  4. Step 4: Simplify right side
    431.33x = 92,330.61
  5. Step 5: Solve for x
    x = 92,330.61/431.33
  6. Step 6: Final answer
    x = 214.06

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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.