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Finding the Fourth Proportional to 232.62, 319.26 and 210.66

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Solution

The fourth proportional to 232.62, 319.26 and 210.66 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 319.26 = 210.66 : x
  2. Step 2: Convert to fraction form
    232.62/319.26 = 210.66/x
  3. Step 3: Cross multiply
    232.62x = 319.26 × 210.66
  4. Step 4: Simplify right side
    232.62x = 67,255.31
  5. Step 5: Solve for x
    x = 67,255.31/232.62
  6. Step 6: Final answer
    x = 289.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.