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Finding the Fourth Proportional to 201.87, 278.63 and 146.50

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Solution

The fourth proportional to 201.87, 278.63 and 146.50 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.87 : 278.63 = 146.50 : x
  2. Step 2: Convert to fraction form
    201.87/278.63 = 146.50/x
  3. Step 3: Cross multiply
    201.87x = 278.63 × 146.50
  4. Step 4: Simplify right side
    201.87x = 40,819.30
  5. Step 5: Solve for x
    x = 40,819.30/201.87
  6. Step 6: Final answer
    x = 202.21

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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.