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Finding the Fourth Proportional to 148.53, 222.68 and 102.74

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Solution

The fourth proportional to 148.53, 222.68 and 102.74 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.53 : 222.68 = 102.74 : x
  2. Step 2: Convert to fraction form
    148.53/222.68 = 102.74/x
  3. Step 3: Cross multiply
    148.53x = 222.68 × 102.74
  4. Step 4: Simplify right side
    148.53x = 22,878.14
  5. Step 5: Solve for x
    x = 22,878.14/148.53
  6. Step 6: Final answer
    x = 154.03

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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.