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Finding the Fourth Proportional to 476.87, 658.07 and 280.34

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Solution

The fourth proportional to 476.87, 658.07 and 280.34 is: 386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.87 : 658.07 = 280.34 : x
  2. Step 2: Convert to fraction form
    476.87/658.07 = 280.34/x
  3. Step 3: Cross multiply
    476.87x = 658.07 × 280.34
  4. Step 4: Simplify right side
    476.87x = 184,478.65
  5. Step 5: Solve for x
    x = 184,478.65/476.87
  6. Step 6: Final answer
    x = 386.86

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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.