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Finding the Fourth Proportional to 52.78, 78.89 and 44.68

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Solution

The fourth proportional to 52.78, 78.89 and 44.68 is: 66.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.78 : 78.89 = 44.68 : x
  2. Step 2: Convert to fraction form
    52.78/78.89 = 44.68/x
  3. Step 3: Cross multiply
    52.78x = 78.89 × 44.68
  4. Step 4: Simplify right side
    52.78x = 3,524.58
  5. Step 5: Solve for x
    x = 3,524.58/52.78
  6. Step 6: Final answer
    x = 66.78

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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.