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Finding the Fourth Proportional to 151.90, 226.51 and 147.56

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Solution

The fourth proportional to 151.90, 226.51 and 147.56 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.90 : 226.51 = 147.56 : x
  2. Step 2: Convert to fraction form
    151.90/226.51 = 147.56/x
  3. Step 3: Cross multiply
    151.90x = 226.51 × 147.56
  4. Step 4: Simplify right side
    151.90x = 33,422.31
  5. Step 5: Solve for x
    x = 33,422.31/151.90
  6. Step 6: Final answer
    x = 220.03

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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.