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Finding the Fourth Proportional to 169.33, 253.81 and 76.72

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Solution

The fourth proportional to 169.33, 253.81 and 76.72 is: 115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.33 : 253.81 = 76.72 : x
  2. Step 2: Convert to fraction form
    169.33/253.81 = 76.72/x
  3. Step 3: Cross multiply
    169.33x = 253.81 × 76.72
  4. Step 4: Simplify right side
    169.33x = 19,472.30
  5. Step 5: Solve for x
    x = 19,472.30/169.33
  6. Step 6: Final answer
    x = 115.00

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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.