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Finding the Fourth Proportional to 49.45, 67.89 and 42.54

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Solution

The fourth proportional to 49.45, 67.89 and 42.54 is: 58.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.45 : 67.89 = 42.54 : x
  2. Step 2: Convert to fraction form
    49.45/67.89 = 42.54/x
  3. Step 3: Cross multiply
    49.45x = 67.89 × 42.54
  4. Step 4: Simplify right side
    49.45x = 2,888.04
  5. Step 5: Solve for x
    x = 2,888.04/49.45
  6. Step 6: Final answer
    x = 58.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.