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Finding the Fourth Proportional to 169.02, 253.64 and 77.72

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Solution

The fourth proportional to 169.02, 253.64 and 77.72 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 253.64 = 77.72 : x
  2. Step 2: Convert to fraction form
    169.02/253.64 = 77.72/x
  3. Step 3: Cross multiply
    169.02x = 253.64 × 77.72
  4. Step 4: Simplify right side
    169.02x = 19,711.24
  5. Step 5: Solve for x
    x = 19,711.24/169.02
  6. Step 6: Final answer
    x = 116.62

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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.