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Finding the Fourth Proportional to 252.90, 378.42 and 209.16

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Solution

The fourth proportional to 252.90, 378.42 and 209.16 is: 312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 378.42 = 209.16 : x
  2. Step 2: Convert to fraction form
    252.90/378.42 = 209.16/x
  3. Step 3: Cross multiply
    252.90x = 378.42 × 209.16
  4. Step 4: Simplify right side
    252.90x = 79,150.33
  5. Step 5: Solve for x
    x = 79,150.33/252.90
  6. Step 6: Final answer
    x = 312.97

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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.