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Finding the Fourth Proportional to 232.42, 348.78 and 145.75

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Solution

The fourth proportional to 232.42, 348.78 and 145.75 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 348.78 = 145.75 : x
  2. Step 2: Convert to fraction form
    232.42/348.78 = 145.75/x
  3. Step 3: Cross multiply
    232.42x = 348.78 × 145.75
  4. Step 4: Simplify right side
    232.42x = 50,834.69
  5. Step 5: Solve for x
    x = 50,834.69/232.42
  6. Step 6: Final answer
    x = 218.72

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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.