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Finding the Fourth Proportional to 53.13, 80.09 and 50.68

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Solution

The fourth proportional to 53.13, 80.09 and 50.68 is: 76.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.13 : 80.09 = 50.68 : x
  2. Step 2: Convert to fraction form
    53.13/80.09 = 50.68/x
  3. Step 3: Cross multiply
    53.13x = 80.09 × 50.68
  4. Step 4: Simplify right side
    53.13x = 4,058.55
  5. Step 5: Solve for x
    x = 4,058.55/53.13
  6. Step 6: Final answer
    x = 76.39

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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.