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Finding the Fourth Proportional to 232.66, 319.30 and 210.79

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Solution

The fourth proportional to 232.66, 319.30 and 210.79 is: 289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 319.30 = 210.79 : x
  2. Step 2: Convert to fraction form
    232.66/319.30 = 210.79/x
  3. Step 3: Cross multiply
    232.66x = 319.30 × 210.79
  4. Step 4: Simplify right side
    232.66x = 67,305.25
  5. Step 5: Solve for x
    x = 67,305.25/232.66
  6. Step 6: Final answer
    x = 289.29

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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.