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Finding the Fourth Proportional to 166.76, 248.71 and 160.95

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Solution

The fourth proportional to 166.76, 248.71 and 160.95 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.76 : 248.71 = 160.95 : x
  2. Step 2: Convert to fraction form
    166.76/248.71 = 160.95/x
  3. Step 3: Cross multiply
    166.76x = 248.71 × 160.95
  4. Step 4: Simplify right side
    166.76x = 40,030.50
  5. Step 5: Solve for x
    x = 40,030.50/166.76
  6. Step 6: Final answer
    x = 240.05

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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.