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Finding the Fourth Proportional to 151.23, 208.48 and 95.94

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Solution

The fourth proportional to 151.23, 208.48 and 95.94 is: 132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 208.48 = 95.94 : x
  2. Step 2: Convert to fraction form
    151.23/208.48 = 95.94/x
  3. Step 3: Cross multiply
    151.23x = 208.48 × 95.94
  4. Step 4: Simplify right side
    151.23x = 20,001.57
  5. Step 5: Solve for x
    x = 20,001.57/151.23
  6. Step 6: Final answer
    x = 132.26

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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.