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Finding the Fourth Proportional to 159.11, 238.26 and 145.75

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Solution

The fourth proportional to 159.11, 238.26 and 145.75 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.11 : 238.26 = 145.75 : x
  2. Step 2: Convert to fraction form
    159.11/238.26 = 145.75/x
  3. Step 3: Cross multiply
    159.11x = 238.26 × 145.75
  4. Step 4: Simplify right side
    159.11x = 34,725.80
  5. Step 5: Solve for x
    x = 34,725.80/159.11
  6. Step 6: Final answer
    x = 218.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.