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Finding the Fourth Proportional to 50.02, 68.98 and 34.47

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Solution

The fourth proportional to 50.02, 68.98 and 34.47 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 68.98 = 34.47 : x
  2. Step 2: Convert to fraction form
    50.02/68.98 = 34.47/x
  3. Step 3: Cross multiply
    50.02x = 68.98 × 34.47
  4. Step 4: Simplify right side
    50.02x = 2,377.96
  5. Step 5: Solve for x
    x = 2,377.96/50.02
  6. Step 6: Final answer
    x = 47.54

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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.