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Finding the Fourth Proportional to 53.69, 80.09 and 45.18

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Solution

The fourth proportional to 53.69, 80.09 and 45.18 is: 67.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 80.09 = 45.18 : x
  2. Step 2: Convert to fraction form
    53.69/80.09 = 45.18/x
  3. Step 3: Cross multiply
    53.69x = 80.09 × 45.18
  4. Step 4: Simplify right side
    53.69x = 3,618.24
  5. Step 5: Solve for x
    x = 3,618.24/53.69
  6. Step 6: Final answer
    x = 67.40

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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.