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Finding the Fourth Proportional to 151.56, 225.97 and 146.92

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Solution

The fourth proportional to 151.56, 225.97 and 146.92 is: 219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.56 : 225.97 = 146.92 : x
  2. Step 2: Convert to fraction form
    151.56/225.97 = 146.92/x
  3. Step 3: Cross multiply
    151.56x = 225.97 × 146.92
  4. Step 4: Simplify right side
    151.56x = 33,199.51
  5. Step 5: Solve for x
    x = 33,199.51/151.56
  6. Step 6: Final answer
    x = 219.05

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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.