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Finding the Fourth Proportional to 261.38, 392.05 and 158.63

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Solution

The fourth proportional to 261.38, 392.05 and 158.63 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 392.05 = 158.63 : x
  2. Step 2: Convert to fraction form
    261.38/392.05 = 158.63/x
  3. Step 3: Cross multiply
    261.38x = 392.05 × 158.63
  4. Step 4: Simplify right side
    261.38x = 62,190.10
  5. Step 5: Solve for x
    x = 62,190.10/261.38
  6. Step 6: Final answer
    x = 237.93

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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.