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Finding the Fourth Proportional to 232.57, 348.80 and 78.57

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Solution

The fourth proportional to 232.57, 348.80 and 78.57 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.57 : 348.80 = 78.57 : x
  2. Step 2: Convert to fraction form
    232.57/348.80 = 78.57/x
  3. Step 3: Cross multiply
    232.57x = 348.80 × 78.57
  4. Step 4: Simplify right side
    232.57x = 27,405.22
  5. Step 5: Solve for x
    x = 27,405.22/232.57
  6. Step 6: Final answer
    x = 117.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.