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Finding the Fourth Proportional to 151.96, 229.29 and 146.34

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Solution

The fourth proportional to 151.96, 229.29 and 146.34 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.96 : 229.29 = 146.34 : x
  2. Step 2: Convert to fraction form
    151.96/229.29 = 146.34/x
  3. Step 3: Cross multiply
    151.96x = 229.29 × 146.34
  4. Step 4: Simplify right side
    151.96x = 33,554.30
  5. Step 5: Solve for x
    x = 33,554.30/151.96
  6. Step 6: Final answer
    x = 220.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.