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Finding the Fourth Proportional to 53.39, 79.91 and 49.18

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Solution

The fourth proportional to 53.39, 79.91 and 49.18 is: 73.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.39 : 79.91 = 49.18 : x
  2. Step 2: Convert to fraction form
    53.39/79.91 = 49.18/x
  3. Step 3: Cross multiply
    53.39x = 79.91 × 49.18
  4. Step 4: Simplify right side
    53.39x = 3,929.97
  5. Step 5: Solve for x
    x = 3,929.97/53.39
  6. Step 6: Final answer
    x = 73.61

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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.