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Finding the Fourth Proportional to 53.79, 80.54 and 33.45

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Solution

The fourth proportional to 53.79, 80.54 and 33.45 is: 50.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.79 : 80.54 = 33.45 : x
  2. Step 2: Convert to fraction form
    53.79/80.54 = 33.45/x
  3. Step 3: Cross multiply
    53.79x = 80.54 × 33.45
  4. Step 4: Simplify right side
    53.79x = 2,693.90
  5. Step 5: Solve for x
    x = 2,693.90/53.79
  6. Step 6: Final answer
    x = 50.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.