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Finding the Fourth Proportional to 377.80, 566.72 and 224.80

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Solution

The fourth proportional to 377.80, 566.72 and 224.80 is: 337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 566.72 = 224.80 : x
  2. Step 2: Convert to fraction form
    377.80/566.72 = 224.80/x
  3. Step 3: Cross multiply
    377.80x = 566.72 × 224.80
  4. Step 4: Simplify right side
    377.80x = 127,398.66
  5. Step 5: Solve for x
    x = 127,398.66/377.80
  6. Step 6: Final answer
    x = 337.21

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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.