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Finding the Fourth Proportional to 166.62, 248.80 and 154.06

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Solution

The fourth proportional to 166.62, 248.80 and 154.06 is: 230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.62 : 248.80 = 154.06 : x
  2. Step 2: Convert to fraction form
    166.62/248.80 = 154.06/x
  3. Step 3: Cross multiply
    166.62x = 248.80 × 154.06
  4. Step 4: Simplify right side
    166.62x = 38,330.13
  5. Step 5: Solve for x
    x = 38,330.13/166.62
  6. Step 6: Final answer
    x = 230.05

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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.