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Finding the Fourth Proportional to 474.10, 654.49 and 297.15

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Solution

The fourth proportional to 474.10, 654.49 and 297.15 is: 410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.10 : 654.49 = 297.15 : x
  2. Step 2: Convert to fraction form
    474.10/654.49 = 297.15/x
  3. Step 3: Cross multiply
    474.10x = 654.49 × 297.15
  4. Step 4: Simplify right side
    474.10x = 194,481.70
  5. Step 5: Solve for x
    x = 194,481.70/474.10
  6. Step 6: Final answer
    x = 410.21

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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.