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Finding the Fourth Proportional to 50.34, 75.11 and 45.22

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Solution

The fourth proportional to 50.34, 75.11 and 45.22 is: 67.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.34 : 75.11 = 45.22 : x
  2. Step 2: Convert to fraction form
    50.34/75.11 = 45.22/x
  3. Step 3: Cross multiply
    50.34x = 75.11 × 45.22
  4. Step 4: Simplify right side
    50.34x = 3,396.10
  5. Step 5: Solve for x
    x = 3,396.10/50.34
  6. Step 6: Final answer
    x = 67.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.