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Finding the Fourth Proportional to 261.87, 393.00 and 115.66

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Solution

The fourth proportional to 261.87, 393.00 and 115.66 is: 173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.87 : 393.00 = 115.66 : x
  2. Step 2: Convert to fraction form
    261.87/393.00 = 115.66/x
  3. Step 3: Cross multiply
    261.87x = 393.00 × 115.66
  4. Step 4: Simplify right side
    261.87x = 45,454.44
  5. Step 5: Solve for x
    x = 45,454.44/261.87
  6. Step 6: Final answer
    x = 173.57

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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.