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Finding the Fourth Proportional to 474.80, 655.17 and 297.90

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Solution

The fourth proportional to 474.80, 655.17 and 297.90 is: 411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.80 : 655.17 = 297.90 : x
  2. Step 2: Convert to fraction form
    474.80/655.17 = 297.90/x
  3. Step 3: Cross multiply
    474.80x = 655.17 × 297.90
  4. Step 4: Simplify right side
    474.80x = 195,175.14
  5. Step 5: Solve for x
    x = 195,175.14/474.80
  6. Step 6: Final answer
    x = 411.07

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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.