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Finding the Fourth Proportional to 50.37, 75.58 and 33.20

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Solution

The fourth proportional to 50.37, 75.58 and 33.20 is: 49.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.37 : 75.58 = 33.20 : x
  2. Step 2: Convert to fraction form
    50.37/75.58 = 33.20/x
  3. Step 3: Cross multiply
    50.37x = 75.58 × 33.20
  4. Step 4: Simplify right side
    50.37x = 2,509.26
  5. Step 5: Solve for x
    x = 2,509.26/50.37
  6. Step 6: Final answer
    x = 49.82

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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.