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Finding the Fourth Proportional to 53.85, 81.15 and 45.48

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Solution

The fourth proportional to 53.85, 81.15 and 45.48 is: 68.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.85 : 81.15 = 45.48 : x
  2. Step 2: Convert to fraction form
    53.85/81.15 = 45.48/x
  3. Step 3: Cross multiply
    53.85x = 81.15 × 45.48
  4. Step 4: Simplify right side
    53.85x = 3,690.70
  5. Step 5: Solve for x
    x = 3,690.70/53.85
  6. Step 6: Final answer
    x = 68.54

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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.