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Finding the Fourth Proportional to 320.86, 443.10 and 291.70

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Solution

The fourth proportional to 320.86, 443.10 and 291.70 is: 402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.86 : 443.10 = 291.70 : x
  2. Step 2: Convert to fraction form
    320.86/443.10 = 291.70/x
  3. Step 3: Cross multiply
    320.86x = 443.10 × 291.70
  4. Step 4: Simplify right side
    320.86x = 129,252.27
  5. Step 5: Solve for x
    x = 129,252.27/320.86
  6. Step 6: Final answer
    x = 402.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.