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Finding the Fourth Proportional to 169.00, 253.50 and 77.67

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Solution

The fourth proportional to 169.00, 253.50 and 77.67 is: 116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.00 : 253.50 = 77.67 : x
  2. Step 2: Convert to fraction form
    169.00/253.50 = 77.67/x
  3. Step 3: Cross multiply
    169.00x = 253.50 × 77.67
  4. Step 4: Simplify right side
    169.00x = 19,689.05
  5. Step 5: Solve for x
    x = 19,689.05/169.00
  6. Step 6: Final answer
    x = 116.51

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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.