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Finding the Fourth Proportional to 232.03, 348.05 and 69.72

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Solution

The fourth proportional to 232.03, 348.05 and 69.72 is: 104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.03 : 348.05 = 69.72 : x
  2. Step 2: Convert to fraction form
    232.03/348.05 = 69.72/x
  3. Step 3: Cross multiply
    232.03x = 348.05 × 69.72
  4. Step 4: Simplify right side
    232.03x = 24,266.05
  5. Step 5: Solve for x
    x = 24,266.05/232.03
  6. Step 6: Final answer
    x = 104.58

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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.