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Finding the Fourth Proportional to 33.19, 45.76 and 25.42

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Solution

The fourth proportional to 33.19, 45.76 and 25.42 is: 35.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.19 : 45.76 = 25.42 : x
  2. Step 2: Convert to fraction form
    33.19/45.76 = 25.42/x
  3. Step 3: Cross multiply
    33.19x = 45.76 × 25.42
  4. Step 4: Simplify right side
    33.19x = 1,162.99
  5. Step 5: Solve for x
    x = 1,162.99/33.19
  6. Step 6: Final answer
    x = 35.05

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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.