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Finding the Fourth Proportional to 202.83, 278.65 and 195.21

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Solution

The fourth proportional to 202.83, 278.65 and 195.21 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.83 : 278.65 = 195.21 : x
  2. Step 2: Convert to fraction form
    202.83/278.65 = 195.21/x
  3. Step 3: Cross multiply
    202.83x = 278.65 × 195.21
  4. Step 4: Simplify right side
    202.83x = 54,395.27
  5. Step 5: Solve for x
    x = 54,395.27/202.83
  6. Step 6: Final answer
    x = 268.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.