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Finding the Fourth Proportional to 415.34, 572.48 and 380.48

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Solution

The fourth proportional to 415.34, 572.48 and 380.48 is: 524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 572.48 = 380.48 : x
  2. Step 2: Convert to fraction form
    415.34/572.48 = 380.48/x
  3. Step 3: Cross multiply
    415.34x = 572.48 × 380.48
  4. Step 4: Simplify right side
    415.34x = 217,817.19
  5. Step 5: Solve for x
    x = 217,817.19/415.34
  6. Step 6: Final answer
    x = 524.43

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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.