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Finding the Fourth Proportional to 169.10, 253.63 and 76.64

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Solution

The fourth proportional to 169.10, 253.63 and 76.64 is: 114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.10 : 253.63 = 76.64 : x
  2. Step 2: Convert to fraction form
    169.10/253.63 = 76.64/x
  3. Step 3: Cross multiply
    169.10x = 253.63 × 76.64
  4. Step 4: Simplify right side
    169.10x = 19,436.55
  5. Step 5: Solve for x
    x = 19,436.55/169.10
  6. Step 6: Final answer
    x = 114.94

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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.