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Finding the Fourth Proportional to 53.46, 80.61 and 46.78

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Solution

The fourth proportional to 53.46, 80.61 and 46.78 is: 70.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.46 : 80.61 = 46.78 : x
  2. Step 2: Convert to fraction form
    53.46/80.61 = 46.78/x
  3. Step 3: Cross multiply
    53.46x = 80.61 × 46.78
  4. Step 4: Simplify right side
    53.46x = 3,770.94
  5. Step 5: Solve for x
    x = 3,770.94/53.46
  6. Step 6: Final answer
    x = 70.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.