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Finding the Fourth Proportional to 261.38, 360.42 and 178.54

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Solution

The fourth proportional to 261.38, 360.42 and 178.54 is: 246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 360.42 = 178.54 : x
  2. Step 2: Convert to fraction form
    261.38/360.42 = 178.54/x
  3. Step 3: Cross multiply
    261.38x = 360.42 × 178.54
  4. Step 4: Simplify right side
    261.38x = 64,348.49
  5. Step 5: Solve for x
    x = 64,348.49/261.38
  6. Step 6: Final answer
    x = 246.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.