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Finding the Fourth Proportional to 415.20, 572.54 and 310.12

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Solution

The fourth proportional to 415.20, 572.54 and 310.12 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 572.54 = 310.12 : x
  2. Step 2: Convert to fraction form
    415.20/572.54 = 310.12/x
  3. Step 3: Cross multiply
    415.20x = 572.54 × 310.12
  4. Step 4: Simplify right side
    415.20x = 177,559.77
  5. Step 5: Solve for x
    x = 177,559.77/415.20
  6. Step 6: Final answer
    x = 427.65

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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.