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Finding the Fourth Proportional to 159.20, 219.43 and 146.13

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Solution

The fourth proportional to 159.20, 219.43 and 146.13 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.20 : 219.43 = 146.13 : x
  2. Step 2: Convert to fraction form
    159.20/219.43 = 146.13/x
  3. Step 3: Cross multiply
    159.20x = 219.43 × 146.13
  4. Step 4: Simplify right side
    159.20x = 32,065.31
  5. Step 5: Solve for x
    x = 32,065.31/159.20
  6. Step 6: Final answer
    x = 201.42

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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.