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Finding the Fourth Proportional to 385.69, 532.26 and 211.04

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Solution

The fourth proportional to 385.69, 532.26 and 211.04 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.69 : 532.26 = 211.04 : x
  2. Step 2: Convert to fraction form
    385.69/532.26 = 211.04/x
  3. Step 3: Cross multiply
    385.69x = 532.26 × 211.04
  4. Step 4: Simplify right side
    385.69x = 112,329.48
  5. Step 5: Solve for x
    x = 112,329.48/385.69
  6. Step 6: Final answer
    x = 291.24

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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.