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Finding the Fourth Proportional to 50.46, 69.51 and 47.42

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Solution

The fourth proportional to 50.46, 69.51 and 47.42 is: 65.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.46 : 69.51 = 47.42 : x
  2. Step 2: Convert to fraction form
    50.46/69.51 = 47.42/x
  3. Step 3: Cross multiply
    50.46x = 69.51 × 47.42
  4. Step 4: Simplify right side
    50.46x = 3,295.99
  5. Step 5: Solve for x
    x = 3,295.99/50.46
  6. Step 6: Final answer
    x = 65.32

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Why These Related Problems?

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