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Finding the Fourth Proportional to 148.42, 223.46 and 135.67

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Solution

The fourth proportional to 148.42, 223.46 and 135.67 is: 204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.42 : 223.46 = 135.67 : x
  2. Step 2: Convert to fraction form
    148.42/223.46 = 135.67/x
  3. Step 3: Cross multiply
    148.42x = 223.46 × 135.67
  4. Step 4: Simplify right side
    148.42x = 30,316.82
  5. Step 5: Solve for x
    x = 30,316.82/148.42
  6. Step 6: Final answer
    x = 204.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.