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Finding the Fourth Proportional to 261.57, 392.97 and 225.12

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Solution

The fourth proportional to 261.57, 392.97 and 225.12 is: 338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.57 : 392.97 = 225.12 : x
  2. Step 2: Convert to fraction form
    261.57/392.97 = 225.12/x
  3. Step 3: Cross multiply
    261.57x = 392.97 × 225.12
  4. Step 4: Simplify right side
    261.57x = 88,465.41
  5. Step 5: Solve for x
    x = 88,465.41/261.57
  6. Step 6: Final answer
    x = 338.21

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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.