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Finding the Fourth Proportional to 170.55, 254.28 and 166.28

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Solution

The fourth proportional to 170.55, 254.28 and 166.28 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.55 : 254.28 = 166.28 : x
  2. Step 2: Convert to fraction form
    170.55/254.28 = 166.28/x
  3. Step 3: Cross multiply
    170.55x = 254.28 × 166.28
  4. Step 4: Simplify right side
    170.55x = 42,281.68
  5. Step 5: Solve for x
    x = 42,281.68/170.55
  6. Step 6: Final answer
    x = 247.91

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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.