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Finding the Fourth Proportional to 50.42, 69.54 and 42.16

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Solution

The fourth proportional to 50.42, 69.54 and 42.16 is: 58.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.42 : 69.54 = 42.16 : x
  2. Step 2: Convert to fraction form
    50.42/69.54 = 42.16/x
  3. Step 3: Cross multiply
    50.42x = 69.54 × 42.16
  4. Step 4: Simplify right side
    50.42x = 2,931.63
  5. Step 5: Solve for x
    x = 2,931.63/50.42
  6. Step 6: Final answer
    x = 58.15

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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.