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Finding the Fourth Proportional to 392.52, 589.86 and 238.48

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Solution

The fourth proportional to 392.52, 589.86 and 238.48 is: 358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.52 : 589.86 = 238.48 : x
  2. Step 2: Convert to fraction form
    392.52/589.86 = 238.48/x
  3. Step 3: Cross multiply
    392.52x = 589.86 × 238.48
  4. Step 4: Simplify right side
    392.52x = 140,669.81
  5. Step 5: Solve for x
    x = 140,669.81/392.52
  6. Step 6: Final answer
    x = 358.38

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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.