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Finding the Fourth Proportional to 50.49, 75.30 and 45.23

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Solution

The fourth proportional to 50.49, 75.30 and 45.23 is: 67.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.49 : 75.30 = 45.23 : x
  2. Step 2: Convert to fraction form
    50.49/75.30 = 45.23/x
  3. Step 3: Cross multiply
    50.49x = 75.30 × 45.23
  4. Step 4: Simplify right side
    50.49x = 3,405.27
  5. Step 5: Solve for x
    x = 3,405.27/50.49
  6. Step 6: Final answer
    x = 67.44

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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.