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Finding the Fourth Proportional to 257.20, 356.56 and 252.18

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Solution

The fourth proportional to 257.20, 356.56 and 252.18 is: 349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.20 : 356.56 = 252.18 : x
  2. Step 2: Convert to fraction form
    257.20/356.56 = 252.18/x
  3. Step 3: Cross multiply
    257.20x = 356.56 × 252.18
  4. Step 4: Simplify right side
    257.20x = 89,916.67
  5. Step 5: Solve for x
    x = 89,916.67/257.20
  6. Step 6: Final answer
    x = 349.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.