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Finding the Fourth Proportional to 252.24, 378.40 and 78.92

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Solution

The fourth proportional to 252.24, 378.40 and 78.92 is: 118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 378.40 = 78.92 : x
  2. Step 2: Convert to fraction form
    252.24/378.40 = 78.92/x
  3. Step 3: Cross multiply
    252.24x = 378.40 × 78.92
  4. Step 4: Simplify right side
    252.24x = 29,864.71
  5. Step 5: Solve for x
    x = 29,864.71/252.24
  6. Step 6: Final answer
    x = 118.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.