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Finding the Fourth Proportional to 232.50, 318.72 and 232.05

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Solution

The fourth proportional to 232.50, 318.72 and 232.05 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 318.72 = 232.05 : x
  2. Step 2: Convert to fraction form
    232.50/318.72 = 232.05/x
  3. Step 3: Cross multiply
    232.50x = 318.72 × 232.05
  4. Step 4: Simplify right side
    232.50x = 73,958.98
  5. Step 5: Solve for x
    x = 73,958.98/232.50
  6. Step 6: Final answer
    x = 318.10

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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.