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Finding the Fourth Proportional to 261.53, 391.69 and 232.22

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Solution

The fourth proportional to 261.53, 391.69 and 232.22 is: 347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 391.69 = 232.22 : x
  2. Step 2: Convert to fraction form
    261.53/391.69 = 232.22/x
  3. Step 3: Cross multiply
    261.53x = 391.69 × 232.22
  4. Step 4: Simplify right side
    261.53x = 90,956.01
  5. Step 5: Solve for x
    x = 90,956.01/261.53
  6. Step 6: Final answer
    x = 347.79

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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.