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Finding the Fourth Proportional to 415.46, 572.40 and 289.31

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Solution

The fourth proportional to 415.46, 572.40 and 289.31 is: 398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.46 : 572.40 = 289.31 : x
  2. Step 2: Convert to fraction form
    415.46/572.40 = 289.31/x
  3. Step 3: Cross multiply
    415.46x = 572.40 × 289.31
  4. Step 4: Simplify right side
    415.46x = 165,598.18
  5. Step 5: Solve for x
    x = 165,598.18/415.46
  6. Step 6: Final answer
    x = 398.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.