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Finding the Fourth Proportional to 415.15, 572.37 and 297.31

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Solution

The fourth proportional to 415.15, 572.37 and 297.31 is: 409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.15 : 572.37 = 297.31 : x
  2. Step 2: Convert to fraction form
    415.15/572.37 = 297.31/x
  3. Step 3: Cross multiply
    415.15x = 572.37 × 297.31
  4. Step 4: Simplify right side
    415.15x = 170,171.32
  5. Step 5: Solve for x
    x = 170,171.32/415.15
  6. Step 6: Final answer
    x = 409.90

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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.