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Finding the Fourth Proportional to 49.64, 68.41 and 42.70

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Solution

The fourth proportional to 49.64, 68.41 and 42.70 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.64 : 68.41 = 42.70 : x
  2. Step 2: Convert to fraction form
    49.64/68.41 = 42.70/x
  3. Step 3: Cross multiply
    49.64x = 68.41 × 42.70
  4. Step 4: Simplify right side
    49.64x = 2,921.21
  5. Step 5: Solve for x
    x = 2,921.21/49.64
  6. Step 6: Final answer
    x = 58.85

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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.