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Finding the Fourth Proportional to 151.82, 226.45 and 147.26

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Solution

The fourth proportional to 151.82, 226.45 and 147.26 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.82 : 226.45 = 147.26 : x
  2. Step 2: Convert to fraction form
    151.82/226.45 = 147.26/x
  3. Step 3: Cross multiply
    151.82x = 226.45 × 147.26
  4. Step 4: Simplify right side
    151.82x = 33,346.29
  5. Step 5: Solve for x
    x = 33,346.29/151.82
  6. Step 6: Final answer
    x = 219.65

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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.