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Finding the Fourth Proportional to 33.02, 49.53 and 17.78

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Solution

The fourth proportional to 33.02, 49.53 and 17.78 is: 26.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.02 : 49.53 = 17.78 : x
  2. Step 2: Convert to fraction form
    33.02/49.53 = 17.78/x
  3. Step 3: Cross multiply
    33.02x = 49.53 × 17.78
  4. Step 4: Simplify right side
    33.02x = 880.64
  5. Step 5: Solve for x
    x = 880.64/33.02
  6. Step 6: Final answer
    x = 26.67

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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.