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Finding the Fourth Proportional to 159.50, 239.09 and 68.25

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Solution

The fourth proportional to 159.50, 239.09 and 68.25 is: 102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 239.09 = 68.25 : x
  2. Step 2: Convert to fraction form
    159.50/239.09 = 68.25/x
  3. Step 3: Cross multiply
    159.50x = 239.09 × 68.25
  4. Step 4: Simplify right side
    159.50x = 16,317.89
  5. Step 5: Solve for x
    x = 16,317.89/159.50
  6. Step 6: Final answer
    x = 102.31

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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.