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Finding the Fourth Proportional to 378.92, 568.54 and 225.14

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Solution

The fourth proportional to 378.92, 568.54 and 225.14 is: 337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.92 : 568.54 = 225.14 : x
  2. Step 2: Convert to fraction form
    378.92/568.54 = 225.14/x
  3. Step 3: Cross multiply
    378.92x = 568.54 × 225.14
  4. Step 4: Simplify right side
    378.92x = 128,001.10
  5. Step 5: Solve for x
    x = 128,001.10/378.92
  6. Step 6: Final answer
    x = 337.81

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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.