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Finding the Fourth Proportional to 149.59, 222.72 and 149.14

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Solution

The fourth proportional to 149.59, 222.72 and 149.14 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.59 : 222.72 = 149.14 : x
  2. Step 2: Convert to fraction form
    149.59/222.72 = 149.14/x
  3. Step 3: Cross multiply
    149.59x = 222.72 × 149.14
  4. Step 4: Simplify right side
    149.59x = 33,216.46
  5. Step 5: Solve for x
    x = 33,216.46/149.59
  6. Step 6: Final answer
    x = 222.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.