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Finding the Fourth Proportional to 98.53, 147.74 and 43.67

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Solution

The fourth proportional to 98.53, 147.74 and 43.67 is: 65.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 147.74 = 43.67 : x
  2. Step 2: Convert to fraction form
    98.53/147.74 = 43.67/x
  3. Step 3: Cross multiply
    98.53x = 147.74 × 43.67
  4. Step 4: Simplify right side
    98.53x = 6,451.96
  5. Step 5: Solve for x
    x = 6,451.96/98.53
  6. Step 6: Final answer
    x = 65.48

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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.