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Finding the Fourth Proportional to 166.75, 248.65 and 157.17

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Solution

The fourth proportional to 166.75, 248.65 and 157.17 is: 234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 248.65 = 157.17 : x
  2. Step 2: Convert to fraction form
    166.75/248.65 = 157.17/x
  3. Step 3: Cross multiply
    166.75x = 248.65 × 157.17
  4. Step 4: Simplify right side
    166.75x = 39,080.32
  5. Step 5: Solve for x
    x = 39,080.32/166.75
  6. Step 6: Final answer
    x = 234.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.