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Finding the Fourth Proportional to 261.02, 360.38 and 167.81

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Solution

The fourth proportional to 261.02, 360.38 and 167.81 is: 231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.02 : 360.38 = 167.81 : x
  2. Step 2: Convert to fraction form
    261.02/360.38 = 167.81/x
  3. Step 3: Cross multiply
    261.02x = 360.38 × 167.81
  4. Step 4: Simplify right side
    261.02x = 60,472.73
  5. Step 5: Solve for x
    x = 60,472.73/261.02
  6. Step 6: Final answer
    x = 231.68

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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.