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Finding the Fourth Proportional to 295.92, 443.12 and 214.70

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Solution

The fourth proportional to 295.92, 443.12 and 214.70 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 443.12 = 214.70 : x
  2. Step 2: Convert to fraction form
    295.92/443.12 = 214.70/x
  3. Step 3: Cross multiply
    295.92x = 443.12 × 214.70
  4. Step 4: Simplify right side
    295.92x = 95,134.57
  5. Step 5: Solve for x
    x = 95,134.57/295.92
  6. Step 6: Final answer
    x = 321.49

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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.