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Finding the Fourth Proportional to 50.25, 75.09 and 35.02

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Solution

The fourth proportional to 50.25, 75.09 and 35.02 is: 52.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.25 : 75.09 = 35.02 : x
  2. Step 2: Convert to fraction form
    50.25/75.09 = 35.02/x
  3. Step 3: Cross multiply
    50.25x = 75.09 × 35.02
  4. Step 4: Simplify right side
    50.25x = 2,629.65
  5. Step 5: Solve for x
    x = 2,629.65/50.25
  6. Step 6: Final answer
    x = 52.33

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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.