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Finding the Fourth Proportional to 50.44, 75.76 and 45.40

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Solution

The fourth proportional to 50.44, 75.76 and 45.40 is: 68.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.44 : 75.76 = 45.40 : x
  2. Step 2: Convert to fraction form
    50.44/75.76 = 45.40/x
  3. Step 3: Cross multiply
    50.44x = 75.76 × 45.40
  4. Step 4: Simplify right side
    50.44x = 3,439.50
  5. Step 5: Solve for x
    x = 3,439.50/50.44
  6. Step 6: Final answer
    x = 68.19

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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.