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Finding the Fourth Proportional to 232.98, 319.36 and 232.58

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Solution

The fourth proportional to 232.98, 319.36 and 232.58 is: 318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 319.36 = 232.58 : x
  2. Step 2: Convert to fraction form
    232.98/319.36 = 232.58/x
  3. Step 3: Cross multiply
    232.98x = 319.36 × 232.58
  4. Step 4: Simplify right side
    232.98x = 74,276.75
  5. Step 5: Solve for x
    x = 74,276.75/232.98
  6. Step 6: Final answer
    x = 318.81

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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.