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Finding the Fourth Proportional to 170.91, 254.61 and 165.51

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Solution

The fourth proportional to 170.91, 254.61 and 165.51 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.91 : 254.61 = 165.51 : x
  2. Step 2: Convert to fraction form
    170.91/254.61 = 165.51/x
  3. Step 3: Cross multiply
    170.91x = 254.61 × 165.51
  4. Step 4: Simplify right side
    170.91x = 42,140.50
  5. Step 5: Solve for x
    x = 42,140.50/170.91
  6. Step 6: Final answer
    x = 246.57

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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.