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Finding the Fourth Proportional to 170.55, 254.68 and 147.78

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Solution

The fourth proportional to 170.55, 254.68 and 147.78 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.55 : 254.68 = 147.78 : x
  2. Step 2: Convert to fraction form
    170.55/254.68 = 147.78/x
  3. Step 3: Cross multiply
    170.55x = 254.68 × 147.78
  4. Step 4: Simplify right side
    170.55x = 37,636.24
  5. Step 5: Solve for x
    x = 37,636.24/170.55
  6. Step 6: Final answer
    x = 220.68

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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.