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Finding the Fourth Proportional to 385.67, 532.37 and 261.61

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Solution

The fourth proportional to 385.67, 532.37 and 261.61 is: 361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.67 : 532.37 = 261.61 : x
  2. Step 2: Convert to fraction form
    385.67/532.37 = 261.61/x
  3. Step 3: Cross multiply
    385.67x = 532.37 × 261.61
  4. Step 4: Simplify right side
    385.67x = 139,273.32
  5. Step 5: Solve for x
    x = 139,273.32/385.67
  6. Step 6: Final answer
    x = 361.12

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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.