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Finding the Fourth Proportional to 51.64, 77.03 and 49.89

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Solution

The fourth proportional to 51.64, 77.03 and 49.89 is: 74.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.64 : 77.03 = 49.89 : x
  2. Step 2: Convert to fraction form
    51.64/77.03 = 49.89/x
  3. Step 3: Cross multiply
    51.64x = 77.03 × 49.89
  4. Step 4: Simplify right side
    51.64x = 3,843.03
  5. Step 5: Solve for x
    x = 3,843.03/51.64
  6. Step 6: Final answer
    x = 74.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.