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Finding the Fourth Proportional to 201.75, 278.57 and 146.62

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Solution

The fourth proportional to 201.75, 278.57 and 146.62 is: 202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 278.57 = 146.62 : x
  2. Step 2: Convert to fraction form
    201.75/278.57 = 146.62/x
  3. Step 3: Cross multiply
    201.75x = 278.57 × 146.62
  4. Step 4: Simplify right side
    201.75x = 40,844.65
  5. Step 5: Solve for x
    x = 40,844.65/201.75
  6. Step 6: Final answer
    x = 202.45

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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.