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Finding the Fourth Proportional to 385.74, 532.31 and 211.07

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Solution

The fourth proportional to 385.74, 532.31 and 211.07 is: 291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 532.31 = 211.07 : x
  2. Step 2: Convert to fraction form
    385.74/532.31 = 211.07/x
  3. Step 3: Cross multiply
    385.74x = 532.31 × 211.07
  4. Step 4: Simplify right side
    385.74x = 112,354.95
  5. Step 5: Solve for x
    x = 112,354.95/385.74
  6. Step 6: Final answer
    x = 291.27

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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.