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Finding the Fourth Proportional to 477.85, 659.19 and 281.16

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Solution

The fourth proportional to 477.85, 659.19 and 281.16 is: 387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.85 : 659.19 = 281.16 : x
  2. Step 2: Convert to fraction form
    477.85/659.19 = 281.16/x
  3. Step 3: Cross multiply
    477.85x = 659.19 × 281.16
  4. Step 4: Simplify right side
    477.85x = 185,337.86
  5. Step 5: Solve for x
    x = 185,337.86/477.85
  6. Step 6: Final answer
    x = 387.86

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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.