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Finding the Fourth Proportional to 50.02, 69.02 and 30.62

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Solution

The fourth proportional to 50.02, 69.02 and 30.62 is: 42.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 69.02 = 30.62 : x
  2. Step 2: Convert to fraction form
    50.02/69.02 = 30.62/x
  3. Step 3: Cross multiply
    50.02x = 69.02 × 30.62
  4. Step 4: Simplify right side
    50.02x = 2,113.39
  5. Step 5: Solve for x
    x = 2,113.39/50.02
  6. Step 6: Final answer
    x = 42.25

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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.