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Finding the Fourth Proportional to 151.87, 210.35 and 141.96

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Solution

The fourth proportional to 151.87, 210.35 and 141.96 is: 196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.87 : 210.35 = 141.96 : x
  2. Step 2: Convert to fraction form
    151.87/210.35 = 141.96/x
  3. Step 3: Cross multiply
    151.87x = 210.35 × 141.96
  4. Step 4: Simplify right side
    151.87x = 29,861.29
  5. Step 5: Solve for x
    x = 29,861.29/151.87
  6. Step 6: Final answer
    x = 196.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.