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Finding the Fourth Proportional to 51.61, 77.97 and 51.11

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Solution

The fourth proportional to 51.61, 77.97 and 51.11 is: 77.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.61 : 77.97 = 51.11 : x
  2. Step 2: Convert to fraction form
    51.61/77.97 = 51.11/x
  3. Step 3: Cross multiply
    51.61x = 77.97 × 51.11
  4. Step 4: Simplify right side
    51.61x = 3,985.17
  5. Step 5: Solve for x
    x = 3,985.17/51.61
  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.