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Finding the Fourth Proportional to 332.91, 499.37 and 261.23

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Solution

The fourth proportional to 332.91, 499.37 and 261.23 is: 391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.91 : 499.37 = 261.23 : x
  2. Step 2: Convert to fraction form
    332.91/499.37 = 261.23/x
  3. Step 3: Cross multiply
    332.91x = 499.37 × 261.23
  4. Step 4: Simplify right side
    332.91x = 130,446.62
  5. Step 5: Solve for x
    x = 130,446.62/332.91
  6. Step 6: Final answer
    x = 391.84

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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.