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Finding the Fourth Proportional to 392.40, 588.64 and 118.49

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Solution

The fourth proportional to 392.40, 588.64 and 118.49 is: 177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 588.64 = 118.49 : x
  2. Step 2: Convert to fraction form
    392.40/588.64 = 118.49/x
  3. Step 3: Cross multiply
    392.40x = 588.64 × 118.49
  4. Step 4: Simplify right side
    392.40x = 69,747.95
  5. Step 5: Solve for x
    x = 69,747.95/392.40
  6. Step 6: Final answer
    x = 177.75

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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.