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Finding the Fourth Proportional to 261.42, 391.87 and 180.15

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Solution

The fourth proportional to 261.42, 391.87 and 180.15 is: 270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.42 : 391.87 = 180.15 : x
  2. Step 2: Convert to fraction form
    261.42/391.87 = 180.15/x
  3. Step 3: Cross multiply
    261.42x = 391.87 × 180.15
  4. Step 4: Simplify right side
    261.42x = 70,595.38
  5. Step 5: Solve for x
    x = 70,595.38/261.42
  6. Step 6: Final answer
    x = 270.05

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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.