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Finding the Fourth Proportional to 54.34, 80.98 and 51.05

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Solution

The fourth proportional to 54.34, 80.98 and 51.05 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 80.98 = 51.05 : x
  2. Step 2: Convert to fraction form
    54.34/80.98 = 51.05/x
  3. Step 3: Cross multiply
    54.34x = 80.98 × 51.05
  4. Step 4: Simplify right side
    54.34x = 4,134.10
  5. Step 5: Solve for x
    x = 4,134.10/54.34
  6. Step 6: Final answer
    x = 76.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.