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Finding the Fourth Proportional to 476.87, 658.06 and 269.87

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Solution

The fourth proportional to 476.87, 658.06 and 269.87 is: 372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.87 : 658.06 = 269.87 : x
  2. Step 2: Convert to fraction form
    476.87/658.06 = 269.87/x
  3. Step 3: Cross multiply
    476.87x = 658.06 × 269.87
  4. Step 4: Simplify right side
    476.87x = 177,586.01
  5. Step 5: Solve for x
    x = 177,586.01/476.87
  6. Step 6: Final answer
    x = 372.40

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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.