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Finding the Fourth Proportional to 385.17, 531.68 and 261.11

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Solution

The fourth proportional to 385.17, 531.68 and 261.11 is: 360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.17 : 531.68 = 261.11 : x
  2. Step 2: Convert to fraction form
    385.17/531.68 = 261.11/x
  3. Step 3: Cross multiply
    385.17x = 531.68 × 261.11
  4. Step 4: Simplify right side
    385.17x = 138,823.00
  5. Step 5: Solve for x
    x = 138,823.00/385.17
  6. Step 6: Final answer
    x = 360.42

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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.