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Finding the Fourth Proportional to 232.80, 314.55 and 232.80

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Solution

The fourth proportional to 232.80, 314.55 and 232.80 is: 314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 314.55 = 232.80 : x
  2. Step 2: Convert to fraction form
    232.80/314.55 = 232.80/x
  3. Step 3: Cross multiply
    232.80x = 314.55 × 232.80
  4. Step 4: Simplify right side
    232.80x = 73,227.24
  5. Step 5: Solve for x
    x = 73,227.24/232.80
  6. Step 6: Final answer
    x = 314.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.