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Finding the Fourth Proportional to 149.13, 224.72 and 122.67

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Solution

The fourth proportional to 149.13, 224.72 and 122.67 is: 184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.13 : 224.72 = 122.67 : x
  2. Step 2: Convert to fraction form
    149.13/224.72 = 122.67/x
  3. Step 3: Cross multiply
    149.13x = 224.72 × 122.67
  4. Step 4: Simplify right side
    149.13x = 27,566.35
  5. Step 5: Solve for x
    x = 27,566.35/149.13
  6. Step 6: Final answer
    x = 184.84

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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.