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Finding the Fourth Proportional to 98.53, 147.78 and 33.54

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Solution

The fourth proportional to 98.53, 147.78 and 33.54 is: 50.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 147.78 = 33.54 : x
  2. Step 2: Convert to fraction form
    98.53/147.78 = 33.54/x
  3. Step 3: Cross multiply
    98.53x = 147.78 × 33.54
  4. Step 4: Simplify right side
    98.53x = 4,956.54
  5. Step 5: Solve for x
    x = 4,956.54/98.53
  6. Step 6: Final answer
    x = 50.30

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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.