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Finding the Fourth Proportional to 392.97, 590.15 and 231.67

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Solution

The fourth proportional to 392.97, 590.15 and 231.67 is: 347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.97 : 590.15 = 231.67 : x
  2. Step 2: Convert to fraction form
    392.97/590.15 = 231.67/x
  3. Step 3: Cross multiply
    392.97x = 590.15 × 231.67
  4. Step 4: Simplify right side
    392.97x = 136,720.05
  5. Step 5: Solve for x
    x = 136,720.05/392.97
  6. Step 6: Final answer
    x = 347.91

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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.