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Finding the Fourth Proportional to 261.45, 392.31 and 124.56

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Solution

The fourth proportional to 261.45, 392.31 and 124.56 is: 186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.45 : 392.31 = 124.56 : x
  2. Step 2: Convert to fraction form
    261.45/392.31 = 124.56/x
  3. Step 3: Cross multiply
    261.45x = 392.31 × 124.56
  4. Step 4: Simplify right side
    261.45x = 48,866.13
  5. Step 5: Solve for x
    x = 48,866.13/261.45
  6. Step 6: Final answer
    x = 186.90

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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.