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Finding the Fourth Proportional to 392.44, 588.01 and 172.74

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Solution

The fourth proportional to 392.44, 588.01 and 172.74 is: 258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.44 : 588.01 = 172.74 : x
  2. Step 2: Convert to fraction form
    392.44/588.01 = 172.74/x
  3. Step 3: Cross multiply
    392.44x = 588.01 × 172.74
  4. Step 4: Simplify right side
    392.44x = 101,572.42
  5. Step 5: Solve for x
    x = 101,572.42/392.44
  6. Step 6: Final answer
    x = 258.82

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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.