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Finding the Fourth Proportional to 377.15, 562.92 and 316.49

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Solution

The fourth proportional to 377.15, 562.92 and 316.49 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.15 : 562.92 = 316.49 : x
  2. Step 2: Convert to fraction form
    377.15/562.92 = 316.49/x
  3. Step 3: Cross multiply
    377.15x = 562.92 × 316.49
  4. Step 4: Simplify right side
    377.15x = 178,154.55
  5. Step 5: Solve for x
    x = 178,154.55/377.15
  6. Step 6: Final answer
    x = 472.38

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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.