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Finding the Fourth Proportional to 28.02, 41.82 and 23.70

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Solution

The fourth proportional to 28.02, 41.82 and 23.70 is: 35.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.02 : 41.82 = 23.70 : x
  2. Step 2: Convert to fraction form
    28.02/41.82 = 23.70/x
  3. Step 3: Cross multiply
    28.02x = 41.82 × 23.70
  4. Step 4: Simplify right side
    28.02x = 991.13
  5. Step 5: Solve for x
    x = 991.13/28.02
  6. Step 6: Final answer
    x = 35.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.