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Finding the Fourth Proportional to 166.78, 248.98 and 148.55

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Solution

The fourth proportional to 166.78, 248.98 and 148.55 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 248.98 = 148.55 : x
  2. Step 2: Convert to fraction form
    166.78/248.98 = 148.55/x
  3. Step 3: Cross multiply
    166.78x = 248.98 × 148.55
  4. Step 4: Simplify right side
    166.78x = 36,985.98
  5. Step 5: Solve for x
    x = 36,985.98/166.78
  6. Step 6: Final answer
    x = 221.77

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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.