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Finding the Fourth Proportional to 232.96, 321.60 and 210.24

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Solution

The fourth proportional to 232.96, 321.60 and 210.24 is: 290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 321.60 = 210.24 : x
  2. Step 2: Convert to fraction form
    232.96/321.60 = 210.24/x
  3. Step 3: Cross multiply
    232.96x = 321.60 × 210.24
  4. Step 4: Simplify right side
    232.96x = 67,613.18
  5. Step 5: Solve for x
    x = 67,613.18/232.96
  6. Step 6: Final answer
    x = 290.24

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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.