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Finding the Fourth Proportional to 392.32, 588.51 and 103.75

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Solution

The fourth proportional to 392.32, 588.51 and 103.75 is: 155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.32 : 588.51 = 103.75 : x
  2. Step 2: Convert to fraction form
    392.32/588.51 = 103.75/x
  3. Step 3: Cross multiply
    392.32x = 588.51 × 103.75
  4. Step 4: Simplify right side
    392.32x = 61,057.91
  5. Step 5: Solve for x
    x = 61,057.91/392.32
  6. Step 6: Final answer
    x = 155.63

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