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Finding the Fourth Proportional to 169.05, 253.56 and 96.87

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Solution

The fourth proportional to 169.05, 253.56 and 96.87 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.05 : 253.56 = 96.87 : x
  2. Step 2: Convert to fraction form
    169.05/253.56 = 96.87/x
  3. Step 3: Cross multiply
    169.05x = 253.56 × 96.87
  4. Step 4: Simplify right side
    169.05x = 24,562.36
  5. Step 5: Solve for x
    x = 24,562.36/169.05
  6. Step 6: Final answer
    x = 145.30

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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.