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Finding the Fourth Proportional to 377.20, 562.70 and 344.56

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Solution

The fourth proportional to 377.20, 562.70 and 344.56 is: 514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.20 : 562.70 = 344.56 : x
  2. Step 2: Convert to fraction form
    377.20/562.70 = 344.56/x
  3. Step 3: Cross multiply
    377.20x = 562.70 × 344.56
  4. Step 4: Simplify right side
    377.20x = 193,883.91
  5. Step 5: Solve for x
    x = 193,883.91/377.20
  6. Step 6: Final answer
    x = 514.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.