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Finding the Fourth Proportional to 50.59, 75.95 and 27.84

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Solution

The fourth proportional to 50.59, 75.95 and 27.84 is: 41.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.59 : 75.95 = 27.84 : x
  2. Step 2: Convert to fraction form
    50.59/75.95 = 27.84/x
  3. Step 3: Cross multiply
    50.59x = 75.95 × 27.84
  4. Step 4: Simplify right side
    50.59x = 2,114.31
  5. Step 5: Solve for x
    x = 2,114.31/50.59
  6. Step 6: Final answer
    x = 41.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.