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Finding the Fourth Proportional to 48.44, 72.14 and 45.47

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Solution

The fourth proportional to 48.44, 72.14 and 45.47 is: 67.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.44 : 72.14 = 45.47 : x
  2. Step 2: Convert to fraction form
    48.44/72.14 = 45.47/x
  3. Step 3: Cross multiply
    48.44x = 72.14 × 45.47
  4. Step 4: Simplify right side
    48.44x = 3,280.21
  5. Step 5: Solve for x
    x = 3,280.21/48.44
  6. Step 6: Final answer
    x = 67.72

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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.