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Finding the Fourth Proportional to 231.73, 319.55 and 152.89

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Solution

The fourth proportional to 231.73, 319.55 and 152.89 is: 210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.73 : 319.55 = 152.89 : x
  2. Step 2: Convert to fraction form
    231.73/319.55 = 152.89/x
  3. Step 3: Cross multiply
    231.73x = 319.55 × 152.89
  4. Step 4: Simplify right side
    231.73x = 48,854.44
  5. Step 5: Solve for x
    x = 48,854.44/231.73
  6. Step 6: Final answer
    x = 210.83

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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.