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Finding the Fourth Proportional to 168.88, 253.47 and 77.65

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Solution

The fourth proportional to 168.88, 253.47 and 77.65 is: 116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.88 : 253.47 = 77.65 : x
  2. Step 2: Convert to fraction form
    168.88/253.47 = 77.65/x
  3. Step 3: Cross multiply
    168.88x = 253.47 × 77.65
  4. Step 4: Simplify right side
    168.88x = 19,681.95
  5. Step 5: Solve for x
    x = 19,681.95/168.88
  6. Step 6: Final answer
    x = 116.54

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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.