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Finding the Fourth Proportional to 34.87, 48.05 and 26.70

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Solution

The fourth proportional to 34.87, 48.05 and 26.70 is: 36.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.87 : 48.05 = 26.70 : x
  2. Step 2: Convert to fraction form
    34.87/48.05 = 26.70/x
  3. Step 3: Cross multiply
    34.87x = 48.05 × 26.70
  4. Step 4: Simplify right side
    34.87x = 1,283.05
  5. Step 5: Solve for x
    x = 1,283.05/34.87
  6. Step 6: Final answer
    x = 36.80

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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.