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Finding the Fourth Proportional to 169.85, 253.14 and 165.53

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Solution

The fourth proportional to 169.85, 253.14 and 165.53 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.85 : 253.14 = 165.53 : x
  2. Step 2: Convert to fraction form
    169.85/253.14 = 165.53/x
  3. Step 3: Cross multiply
    169.85x = 253.14 × 165.53
  4. Step 4: Simplify right side
    169.85x = 41,901.00
  5. Step 5: Solve for x
    x = 41,901.00/169.85
  6. Step 6: Final answer
    x = 246.70

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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.