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Finding the Fourth Proportional to 392.42, 588.63 and 103.86

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Solution

The fourth proportional to 392.42, 588.63 and 103.86 is: 155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 588.63 = 103.86 : x
  2. Step 2: Convert to fraction form
    392.42/588.63 = 103.86/x
  3. Step 3: Cross multiply
    392.42x = 588.63 × 103.86
  4. Step 4: Simplify right side
    392.42x = 61,132.17
  5. Step 5: Solve for x
    x = 61,132.17/392.42
  6. Step 6: Final answer
    x = 155.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.