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Finding the Fourth Proportional to 202.50, 280.06 and 190.96

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Solution

The fourth proportional to 202.50, 280.06 and 190.96 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 280.06 = 190.96 : x
  2. Step 2: Convert to fraction form
    202.50/280.06 = 190.96/x
  3. Step 3: Cross multiply
    202.50x = 280.06 × 190.96
  4. Step 4: Simplify right side
    202.50x = 53,479.08
  5. Step 5: Solve for x
    x = 53,479.08/202.50
  6. Step 6: Final answer
    x = 264.09

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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.