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Finding the Fourth Proportional to 50.49, 69.78 and 42.30

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Solution

The fourth proportional to 50.49, 69.78 and 42.30 is: 58.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.49 : 69.78 = 42.30 : x
  2. Step 2: Convert to fraction form
    50.49/69.78 = 42.30/x
  3. Step 3: Cross multiply
    50.49x = 69.78 × 42.30
  4. Step 4: Simplify right side
    50.49x = 2,951.69
  5. Step 5: Solve for x
    x = 2,951.69/50.49
  6. Step 6: Final answer
    x = 58.46

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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.