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Finding the Fourth Proportional to 48.95, 73.47 and 48.85

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Solution

The fourth proportional to 48.95, 73.47 and 48.85 is: 73.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.95 : 73.47 = 48.85 : x
  2. Step 2: Convert to fraction form
    48.95/73.47 = 48.85/x
  3. Step 3: Cross multiply
    48.95x = 73.47 × 48.85
  4. Step 4: Simplify right side
    48.95x = 3,589.01
  5. Step 5: Solve for x
    x = 3,589.01/48.95
  6. Step 6: Final answer
    x = 73.32

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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.