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Finding the Fourth Proportional to 53.48, 80.22 and 12.90

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Solution

The fourth proportional to 53.48, 80.22 and 12.90 is: 19.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.48 : 80.22 = 12.90 : x
  2. Step 2: Convert to fraction form
    53.48/80.22 = 12.90/x
  3. Step 3: Cross multiply
    53.48x = 80.22 × 12.90
  4. Step 4: Simplify right side
    53.48x = 1,035.06
  5. Step 5: Solve for x
    x = 1,035.06/53.48
  6. Step 6: Final answer
    x = 19.35

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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.