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Finding the Fourth Proportional to 159.50, 238.74 and 82.36

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Solution

The fourth proportional to 159.50, 238.74 and 82.36 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 238.74 = 82.36 : x
  2. Step 2: Convert to fraction form
    159.50/238.74 = 82.36/x
  3. Step 3: Cross multiply
    159.50x = 238.74 × 82.36
  4. Step 4: Simplify right side
    159.50x = 19,663.46
  5. Step 5: Solve for x
    x = 19,663.46/159.50
  6. Step 6: Final answer
    x = 123.28

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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.