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Finding the Fourth Proportional to 169.71, 253.10 and 165.57

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Solution

The fourth proportional to 169.71, 253.10 and 165.57 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.71 : 253.10 = 165.57 : x
  2. Step 2: Convert to fraction form
    169.71/253.10 = 165.57/x
  3. Step 3: Cross multiply
    169.71x = 253.10 × 165.57
  4. Step 4: Simplify right side
    169.71x = 41,904.94
  5. Step 5: Solve for x
    x = 41,904.94/169.71
  6. Step 6: Final answer
    x = 246.92

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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.