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Finding the Fourth Proportional to 53.54, 79.81 and 46.82

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Solution

The fourth proportional to 53.54, 79.81 and 46.82 is: 69.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.54 : 79.81 = 46.82 : x
  2. Step 2: Convert to fraction form
    53.54/79.81 = 46.82/x
  3. Step 3: Cross multiply
    53.54x = 79.81 × 46.82
  4. Step 4: Simplify right side
    53.54x = 3,736.70
  5. Step 5: Solve for x
    x = 3,736.70/53.54
  6. Step 6: Final answer
    x = 69.79

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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.