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Finding the Fourth Proportional to 170.82, 254.88 and 162.81

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Solution

The fourth proportional to 170.82, 254.88 and 162.81 is: 242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.82 : 254.88 = 162.81 : x
  2. Step 2: Convert to fraction form
    170.82/254.88 = 162.81/x
  3. Step 3: Cross multiply
    170.82x = 254.88 × 162.81
  4. Step 4: Simplify right side
    170.82x = 41,497.01
  5. Step 5: Solve for x
    x = 41,497.01/170.82
  6. Step 6: Final answer
    x = 242.93

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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.