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Finding the Fourth Proportional to 213.32, 320.12 and 144.92

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Solution

The fourth proportional to 213.32, 320.12 and 144.92 is: 217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.32 : 320.12 = 144.92 : x
  2. Step 2: Convert to fraction form
    213.32/320.12 = 144.92/x
  3. Step 3: Cross multiply
    213.32x = 320.12 × 144.92
  4. Step 4: Simplify right side
    213.32x = 46,391.79
  5. Step 5: Solve for x
    x = 46,391.79/213.32
  6. Step 6: Final answer
    x = 217.48

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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.