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Finding the Fourth Proportional to 149.49, 225.32 and 140.67

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Solution

The fourth proportional to 149.49, 225.32 and 140.67 is: 212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 225.32 = 140.67 : x
  2. Step 2: Convert to fraction form
    149.49/225.32 = 140.67/x
  3. Step 3: Cross multiply
    149.49x = 225.32 × 140.67
  4. Step 4: Simplify right side
    149.49x = 31,695.06
  5. Step 5: Solve for x
    x = 31,695.06/149.49
  6. Step 6: Final answer
    x = 212.02

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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.