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Finding the Fourth Proportional to 377.57, 562.89 and 348.41

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Solution

The fourth proportional to 377.57, 562.89 and 348.41 is: 519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.57 : 562.89 = 348.41 : x
  2. Step 2: Convert to fraction form
    377.57/562.89 = 348.41/x
  3. Step 3: Cross multiply
    377.57x = 562.89 × 348.41
  4. Step 4: Simplify right side
    377.57x = 196,116.50
  5. Step 5: Solve for x
    x = 196,116.50/377.57
  6. Step 6: Final answer
    x = 519.42

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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.