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Finding the Fourth Proportional to 53.66, 80.09 and 43.54

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Solution

The fourth proportional to 53.66, 80.09 and 43.54 is: 64.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.66 : 80.09 = 43.54 : x
  2. Step 2: Convert to fraction form
    53.66/80.09 = 43.54/x
  3. Step 3: Cross multiply
    53.66x = 80.09 × 43.54
  4. Step 4: Simplify right side
    53.66x = 3,486.86
  5. Step 5: Solve for x
    x = 3,486.86/53.66
  6. Step 6: Final answer
    x = 64.98

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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.