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Finding the Fourth Proportional to 232.59, 320.85 and 153.93

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Solution

The fourth proportional to 232.59, 320.85 and 153.93 is: 212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.59 : 320.85 = 153.93 : x
  2. Step 2: Convert to fraction form
    232.59/320.85 = 153.93/x
  3. Step 3: Cross multiply
    232.59x = 320.85 × 153.93
  4. Step 4: Simplify right side
    232.59x = 49,388.44
  5. Step 5: Solve for x
    x = 49,388.44/232.59
  6. Step 6: Final answer
    x = 212.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.