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Finding the Fourth Proportional to 169.40, 253.86 and 123.80

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Solution

The fourth proportional to 169.40, 253.86 and 123.80 is: 185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.40 : 253.86 = 123.80 : x
  2. Step 2: Convert to fraction form
    169.40/253.86 = 123.80/x
  3. Step 3: Cross multiply
    169.40x = 253.86 × 123.80
  4. Step 4: Simplify right side
    169.40x = 31,427.87
  5. Step 5: Solve for x
    x = 31,427.87/169.40
  6. Step 6: Final answer
    x = 185.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.