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Finding the Fourth Proportional to 50.42, 76.05 and 48.80

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Solution

The fourth proportional to 50.42, 76.05 and 48.80 is: 73.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.42 : 76.05 = 48.80 : x
  2. Step 2: Convert to fraction form
    50.42/76.05 = 48.80/x
  3. Step 3: Cross multiply
    50.42x = 76.05 × 48.80
  4. Step 4: Simplify right side
    50.42x = 3,710.68
  5. Step 5: Solve for x
    x = 3,710.68/50.42
  6. Step 6: Final answer
    x = 73.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.