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Finding the Fourth Proportional to 202.32, 278.94 and 149.85

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Solution

The fourth proportional to 202.32, 278.94 and 149.85 is: 206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 278.94 = 149.85 : x
  2. Step 2: Convert to fraction form
    202.32/278.94 = 149.85/x
  3. Step 3: Cross multiply
    202.32x = 278.94 × 149.85
  4. Step 4: Simplify right side
    202.32x = 41,799.16
  5. Step 5: Solve for x
    x = 41,799.16/202.32
  6. Step 6: Final answer
    x = 206.60

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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.