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Finding the Fourth Proportional to 166.52, 248.05 and 160.58

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Solution

The fourth proportional to 166.52, 248.05 and 160.58 is: 239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 248.05 = 160.58 : x
  2. Step 2: Convert to fraction form
    166.52/248.05 = 160.58/x
  3. Step 3: Cross multiply
    166.52x = 248.05 × 160.58
  4. Step 4: Simplify right side
    166.52x = 39,831.87
  5. Step 5: Solve for x
    x = 39,831.87/166.52
  6. Step 6: Final answer
    x = 239.20

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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.