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Finding the Fourth Proportional to 48.78, 73.16 and 16.28

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Solution

The fourth proportional to 48.78, 73.16 and 16.28 is: 24.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.78 : 73.16 = 16.28 : x
  2. Step 2: Convert to fraction form
    48.78/73.16 = 16.28/x
  3. Step 3: Cross multiply
    48.78x = 73.16 × 16.28
  4. Step 4: Simplify right side
    48.78x = 1,190.72
  5. Step 5: Solve for x
    x = 1,190.72/48.78
  6. Step 6: Final answer
    x = 24.41

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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.