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Finding the Fourth Proportional to 385.78, 532.38 and 211.13

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Solution

The fourth proportional to 385.78, 532.38 and 211.13 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.78 : 532.38 = 211.13 : x
  2. Step 2: Convert to fraction form
    385.78/532.38 = 211.13/x
  3. Step 3: Cross multiply
    385.78x = 532.38 × 211.13
  4. Step 4: Simplify right side
    385.78x = 112,398.33
  5. Step 5: Solve for x
    x = 112,398.33/385.78
  6. Step 6: Final answer
    x = 291.35

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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.