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Finding the Fourth Proportional to 242.93, 335.27 and 149.75

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Solution

The fourth proportional to 242.93, 335.27 and 149.75 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.93 : 335.27 = 149.75 : x
  2. Step 2: Convert to fraction form
    242.93/335.27 = 149.75/x
  3. Step 3: Cross multiply
    242.93x = 335.27 × 149.75
  4. Step 4: Simplify right side
    242.93x = 50,206.68
  5. Step 5: Solve for x
    x = 50,206.68/242.93
  6. Step 6: Final answer
    x = 206.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.