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Finding the Fourth Proportional to 53.69, 80.86 and 45.19

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Solution

The fourth proportional to 53.69, 80.86 and 45.19 is: 68.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 80.86 = 45.19 : x
  2. Step 2: Convert to fraction form
    53.69/80.86 = 45.19/x
  3. Step 3: Cross multiply
    53.69x = 80.86 × 45.19
  4. Step 4: Simplify right side
    53.69x = 3,653.97
  5. Step 5: Solve for x
    x = 3,653.97/53.69
  6. Step 6: Final answer
    x = 68.05

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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.