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Finding the Fourth Proportional to 474.80, 655.11 and 285.66

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Solution

The fourth proportional to 474.80, 655.11 and 285.66 is: 394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.80 : 655.11 = 285.66 : x
  2. Step 2: Convert to fraction form
    474.80/655.11 = 285.66/x
  3. Step 3: Cross multiply
    474.80x = 655.11 × 285.66
  4. Step 4: Simplify right side
    474.80x = 187,139.53
  5. Step 5: Solve for x
    x = 187,139.53/474.80
  6. Step 6: Final answer
    x = 394.15

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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.