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Finding the Fourth Proportional to 53.86, 81.20 and 51.22

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Solution

The fourth proportional to 53.86, 81.20 and 51.22 is: 77.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.86 : 81.20 = 51.22 : x
  2. Step 2: Convert to fraction form
    53.86/81.20 = 51.22/x
  3. Step 3: Cross multiply
    53.86x = 81.20 × 51.22
  4. Step 4: Simplify right side
    53.86x = 4,158.81
  5. Step 5: Solve for x
    x = 4,158.81/53.86
  6. Step 6: Final answer
    x = 77.22

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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.