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Finding the Fourth Proportional to 166.32, 250.54 and 159.60

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Solution

The fourth proportional to 166.32, 250.54 and 159.60 is: 240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 250.54 = 159.60 : x
  2. Step 2: Convert to fraction form
    166.32/250.54 = 159.60/x
  3. Step 3: Cross multiply
    166.32x = 250.54 × 159.60
  4. Step 4: Simplify right side
    166.32x = 39,986.18
  5. Step 5: Solve for x
    x = 39,986.18/166.32
  6. Step 6: Final answer
    x = 240.42

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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.