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Finding the Fourth Proportional to 231.48, 345.92 and 153.88

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Solution

The fourth proportional to 231.48, 345.92 and 153.88 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.48 : 345.92 = 153.88 : x
  2. Step 2: Convert to fraction form
    231.48/345.92 = 153.88/x
  3. Step 3: Cross multiply
    231.48x = 345.92 × 153.88
  4. Step 4: Simplify right side
    231.48x = 53,230.17
  5. Step 5: Solve for x
    x = 53,230.17/231.48
  6. Step 6: Final answer
    x = 229.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.