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Finding the Fourth Proportional to 15.57, 23.21 and 15.33

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Solution

The fourth proportional to 15.57, 23.21 and 15.33 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.57 : 23.21 = 15.33 : x
  2. Step 2: Convert to fraction form
    15.57/23.21 = 15.33/x
  3. Step 3: Cross multiply
    15.57x = 23.21 × 15.33
  4. Step 4: Simplify right side
    15.57x = 355.73
  5. Step 5: Solve for x
    x = 355.73/15.57
  6. Step 6: Final answer
    x = 22.85

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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.