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Finding the Fourth Proportional to 252.57, 377.24 and 206.40

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Solution

The fourth proportional to 252.57, 377.24 and 206.40 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.57 : 377.24 = 206.40 : x
  2. Step 2: Convert to fraction form
    252.57/377.24 = 206.40/x
  3. Step 3: Cross multiply
    252.57x = 377.24 × 206.40
  4. Step 4: Simplify right side
    252.57x = 77,862.72
  5. Step 5: Solve for x
    x = 77,862.72/252.57
  6. Step 6: Final answer
    x = 308.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.