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Finding the Fourth Proportional to 50.47, 76.03 and 49.84

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Solution

The fourth proportional to 50.47, 76.03 and 49.84 is: 75.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.47 : 76.03 = 49.84 : x
  2. Step 2: Convert to fraction form
    50.47/76.03 = 49.84/x
  3. Step 3: Cross multiply
    50.47x = 76.03 × 49.84
  4. Step 4: Simplify right side
    50.47x = 3,789.34
  5. Step 5: Solve for x
    x = 3,789.34/50.47
  6. Step 6: Final answer
    x = 75.08

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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.