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Finding the Fourth Proportional to 169.93, 253.63 and 165.83

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Solution

The fourth proportional to 169.93, 253.63 and 165.83 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.93 : 253.63 = 165.83 : x
  2. Step 2: Convert to fraction form
    169.93/253.63 = 165.83/x
  3. Step 3: Cross multiply
    169.93x = 253.63 × 165.83
  4. Step 4: Simplify right side
    169.93x = 42,059.46
  5. Step 5: Solve for x
    x = 42,059.46/169.93
  6. Step 6: Final answer
    x = 247.51

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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.