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Finding the Fourth Proportional to 54.59, 82.16 and 51.65

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Solution

The fourth proportional to 54.59, 82.16 and 51.65 is: 77.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.59 : 82.16 = 51.65 : x
  2. Step 2: Convert to fraction form
    54.59/82.16 = 51.65/x
  3. Step 3: Cross multiply
    54.59x = 82.16 × 51.65
  4. Step 4: Simplify right side
    54.59x = 4,242.89
  5. Step 5: Solve for x
    x = 4,242.89/54.59
  6. Step 6: Final answer
    x = 77.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.