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Finding the Fourth Proportional to 50.78, 69.98 and 48.75

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Solution

The fourth proportional to 50.78, 69.98 and 48.75 is: 67.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 69.98 = 48.75 : x
  2. Step 2: Convert to fraction form
    50.78/69.98 = 48.75/x
  3. Step 3: Cross multiply
    50.78x = 69.98 × 48.75
  4. Step 4: Simplify right side
    50.78x = 3,411.28
  5. Step 5: Solve for x
    x = 3,411.28/50.78
  6. Step 6: Final answer
    x = 67.18

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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.