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Finding the Fourth Proportional to 159.26, 240.63 and 158.34

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Solution

The fourth proportional to 159.26, 240.63 and 158.34 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.26 : 240.63 = 158.34 : x
  2. Step 2: Convert to fraction form
    159.26/240.63 = 158.34/x
  3. Step 3: Cross multiply
    159.26x = 240.63 × 158.34
  4. Step 4: Simplify right side
    159.26x = 38,101.66
  5. Step 5: Solve for x
    x = 38,101.66/159.26
  6. Step 6: Final answer
    x = 239.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.