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Finding the Fourth Proportional to 51.04, 77.11 and 49.42

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Solution

The fourth proportional to 51.04, 77.11 and 49.42 is: 74.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.04 : 77.11 = 49.42 : x
  2. Step 2: Convert to fraction form
    51.04/77.11 = 49.42/x
  3. Step 3: Cross multiply
    51.04x = 77.11 × 49.42
  4. Step 4: Simplify right side
    51.04x = 3,810.78
  5. Step 5: Solve for x
    x = 3,810.78/51.04
  6. Step 6: Final answer
    x = 74.66

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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.