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Finding the Fourth Proportional to 54.91, 75.77 and 31.60

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Solution

The fourth proportional to 54.91, 75.77 and 31.60 is: 43.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.91 : 75.77 = 31.60 : x
  2. Step 2: Convert to fraction form
    54.91/75.77 = 31.60/x
  3. Step 3: Cross multiply
    54.91x = 75.77 × 31.60
  4. Step 4: Simplify right side
    54.91x = 2,394.56
  5. Step 5: Solve for x
    x = 2,394.56/54.91
  6. Step 6: Final answer
    x = 43.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.