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Finding the Fourth Proportional to 170.73, 254.94 and 135.63

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Solution

The fourth proportional to 170.73, 254.94 and 135.63 is: 202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.73 : 254.94 = 135.63 : x
  2. Step 2: Convert to fraction form
    170.73/254.94 = 135.63/x
  3. Step 3: Cross multiply
    170.73x = 254.94 × 135.63
  4. Step 4: Simplify right side
    170.73x = 34,577.17
  5. Step 5: Solve for x
    x = 34,577.17/170.73
  6. Step 6: Final answer
    x = 202.53

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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.