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Finding the Fourth Proportional to 261.90, 391.50 and 255.42

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Solution

The fourth proportional to 261.90, 391.50 and 255.42 is: 381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.90 : 391.50 = 255.42 : x
  2. Step 2: Convert to fraction form
    261.90/391.50 = 255.42/x
  3. Step 3: Cross multiply
    261.90x = 391.50 × 255.42
  4. Step 4: Simplify right side
    261.90x = 99,996.93
  5. Step 5: Solve for x
    x = 99,996.93/261.90
  6. Step 6: Final answer
    x = 381.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.