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Finding the Fourth Proportional to 415.20, 572.40 and 345.36

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Solution

The fourth proportional to 415.20, 572.40 and 345.36 is: 476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 572.40 = 345.36 : x
  2. Step 2: Convert to fraction form
    415.20/572.40 = 345.36/x
  3. Step 3: Cross multiply
    415.20x = 572.40 × 345.36
  4. Step 4: Simplify right side
    415.20x = 197,684.06
  5. Step 5: Solve for x
    x = 197,684.06/415.20
  6. Step 6: Final answer
    x = 476.12

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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.