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Finding the Fourth Proportional to 29.96, 45.06 and 25.46

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Solution

The fourth proportional to 29.96, 45.06 and 25.46 is: 38.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.96 : 45.06 = 25.46 : x
  2. Step 2: Convert to fraction form
    29.96/45.06 = 25.46/x
  3. Step 3: Cross multiply
    29.96x = 45.06 × 25.46
  4. Step 4: Simplify right side
    29.96x = 1,147.23
  5. Step 5: Solve for x
    x = 1,147.23/29.96
  6. Step 6: Final answer
    x = 38.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.