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Finding the Fourth Proportional to 377.96, 565.68 and 215.12

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Solution

The fourth proportional to 377.96, 565.68 and 215.12 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.96 : 565.68 = 215.12 : x
  2. Step 2: Convert to fraction form
    377.96/565.68 = 215.12/x
  3. Step 3: Cross multiply
    377.96x = 565.68 × 215.12
  4. Step 4: Simplify right side
    377.96x = 121,689.08
  5. Step 5: Solve for x
    x = 121,689.08/377.96
  6. Step 6: Final answer
    x = 321.96

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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.