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Finding the Fourth Proportional to 54.95, 75.47 and 48.74

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Solution

The fourth proportional to 54.95, 75.47 and 48.74 is: 66.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.95 : 75.47 = 48.74 : x
  2. Step 2: Convert to fraction form
    54.95/75.47 = 48.74/x
  3. Step 3: Cross multiply
    54.95x = 75.47 × 48.74
  4. Step 4: Simplify right side
    54.95x = 3,677.79
  5. Step 5: Solve for x
    x = 3,677.79/54.95
  6. Step 6: Final answer
    x = 66.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.