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Finding the Fourth Proportional to 15.37, 22.81 and 15.16

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Solution

The fourth proportional to 15.37, 22.81 and 15.16 is: 22.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.37 : 22.81 = 15.16 : x
  2. Step 2: Convert to fraction form
    15.37/22.81 = 15.16/x
  3. Step 3: Cross multiply
    15.37x = 22.81 × 15.16
  4. Step 4: Simplify right side
    15.37x = 345.80
  5. Step 5: Solve for x
    x = 345.80/15.37
  6. Step 6: Final answer
    x = 22.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.