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Finding the Fourth Proportional to 415.34, 572.26 and 289.18

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Solution

The fourth proportional to 415.34, 572.26 and 289.18 is: 398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 572.26 = 289.18 : x
  2. Step 2: Convert to fraction form
    415.34/572.26 = 289.18/x
  3. Step 3: Cross multiply
    415.34x = 572.26 × 289.18
  4. Step 4: Simplify right side
    415.34x = 165,486.15
  5. Step 5: Solve for x
    x = 165,486.15/415.34
  6. Step 6: Final answer
    x = 398.44

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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.