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Finding the Fourth Proportional to 159.50, 219.99 and 146.43

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Solution

The fourth proportional to 159.50, 219.99 and 146.43 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 219.99 = 146.43 : x
  2. Step 2: Convert to fraction form
    159.50/219.99 = 146.43/x
  3. Step 3: Cross multiply
    159.50x = 219.99 × 146.43
  4. Step 4: Simplify right side
    159.50x = 32,213.14
  5. Step 5: Solve for x
    x = 32,213.14/159.50
  6. Step 6: Final answer
    x = 201.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.