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Finding the Fourth Proportional to 232.98, 348.91 and 155.72

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Solution

The fourth proportional to 232.98, 348.91 and 155.72 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 348.91 = 155.72 : x
  2. Step 2: Convert to fraction form
    232.98/348.91 = 155.72/x
  3. Step 3: Cross multiply
    232.98x = 348.91 × 155.72
  4. Step 4: Simplify right side
    232.98x = 54,332.75
  5. Step 5: Solve for x
    x = 54,332.75/232.98
  6. Step 6: Final answer
    x = 233.21

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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.