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Finding the Fourth Proportional to 52.78, 72.89 and 48.19

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Solution

The fourth proportional to 52.78, 72.89 and 48.19 is: 66.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.78 : 72.89 = 48.19 : x
  2. Step 2: Convert to fraction form
    52.78/72.89 = 48.19/x
  3. Step 3: Cross multiply
    52.78x = 72.89 × 48.19
  4. Step 4: Simplify right side
    52.78x = 3,512.57
  5. Step 5: Solve for x
    x = 3,512.57/52.78
  6. Step 6: Final answer
    x = 66.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.