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Finding the Fourth Proportional to 252.42, 376.93 and 249.74

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Solution

The fourth proportional to 252.42, 376.93 and 249.74 is: 372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 376.93 = 249.74 : x
  2. Step 2: Convert to fraction form
    252.42/376.93 = 249.74/x
  3. Step 3: Cross multiply
    252.42x = 376.93 × 249.74
  4. Step 4: Simplify right side
    252.42x = 94,134.50
  5. Step 5: Solve for x
    x = 94,134.50/252.42
  6. Step 6: Final answer
    x = 372.93

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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.