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Finding the Fourth Proportional to 377.97, 565.12 and 320.86

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Solution

The fourth proportional to 377.97, 565.12 and 320.86 is: 479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.97 : 565.12 = 320.86 : x
  2. Step 2: Convert to fraction form
    377.97/565.12 = 320.86/x
  3. Step 3: Cross multiply
    377.97x = 565.12 × 320.86
  4. Step 4: Simplify right side
    377.97x = 181,324.40
  5. Step 5: Solve for x
    x = 181,324.40/377.97
  6. Step 6: Final answer
    x = 479.73

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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.