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Finding the Fourth Proportional to 159.31, 219.84 and 146.23

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Solution

The fourth proportional to 159.31, 219.84 and 146.23 is: 201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.31 : 219.84 = 146.23 : x
  2. Step 2: Convert to fraction form
    159.31/219.84 = 146.23/x
  3. Step 3: Cross multiply
    159.31x = 219.84 × 146.23
  4. Step 4: Simplify right side
    159.31x = 32,147.20
  5. Step 5: Solve for x
    x = 32,147.20/159.31
  6. Step 6: Final answer
    x = 201.79

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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.