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Finding the Fourth Proportional to 378.74, 566.90 and 224.28

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Solution

The fourth proportional to 378.74, 566.90 and 224.28 is: 335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 566.90 = 224.28 : x
  2. Step 2: Convert to fraction form
    378.74/566.90 = 224.28/x
  3. Step 3: Cross multiply
    378.74x = 566.90 × 224.28
  4. Step 4: Simplify right side
    378.74x = 127,143.21
  5. Step 5: Solve for x
    x = 127,143.21/378.74
  6. Step 6: Final answer
    x = 335.70

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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.