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Finding the Fourth Proportional to 50.42, 69.50 and 42.08

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Solution

The fourth proportional to 50.42, 69.50 and 42.08 is: 58.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.42 : 69.50 = 42.08 : x
  2. Step 2: Convert to fraction form
    50.42/69.50 = 42.08/x
  3. Step 3: Cross multiply
    50.42x = 69.50 × 42.08
  4. Step 4: Simplify right side
    50.42x = 2,924.56
  5. Step 5: Solve for x
    x = 2,924.56/50.42
  6. Step 6: Final answer
    x = 58.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.