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Finding the Fourth Proportional to 261.62, 392.09 and 115.41

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Solution

The fourth proportional to 261.62, 392.09 and 115.41 is: 172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.62 : 392.09 = 115.41 : x
  2. Step 2: Convert to fraction form
    261.62/392.09 = 115.41/x
  3. Step 3: Cross multiply
    261.62x = 392.09 × 115.41
  4. Step 4: Simplify right side
    261.62x = 45,249.06
  5. Step 5: Solve for x
    x = 45,249.06/261.62
  6. Step 6: Final answer
    x = 172.96

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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.