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Finding the Fourth Proportional to 52.31, 77.93 and 50.73

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Solution

The fourth proportional to 52.31, 77.93 and 50.73 is: 75.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 77.93 = 50.73 : x
  2. Step 2: Convert to fraction form
    52.31/77.93 = 50.73/x
  3. Step 3: Cross multiply
    52.31x = 77.93 × 50.73
  4. Step 4: Simplify right side
    52.31x = 3,953.14
  5. Step 5: Solve for x
    x = 3,953.14/52.31
  6. Step 6: Final answer
    x = 75.58

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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.