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Finding the Fourth Proportional to 478.30, 659.90 and 281.86

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Solution

The fourth proportional to 478.30, 659.90 and 281.86 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.30 : 659.90 = 281.86 : x
  2. Step 2: Convert to fraction form
    478.30/659.90 = 281.86/x
  3. Step 3: Cross multiply
    478.30x = 659.90 × 281.86
  4. Step 4: Simplify right side
    478.30x = 185,999.41
  5. Step 5: Solve for x
    x = 185,999.41/478.30
  6. Step 6: Final answer
    x = 388.88

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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.