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Finding the Fourth Proportional to 202.77, 278.17 and 190.35

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Solution

The fourth proportional to 202.77, 278.17 and 190.35 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.77 : 278.17 = 190.35 : x
  2. Step 2: Convert to fraction form
    202.77/278.17 = 190.35/x
  3. Step 3: Cross multiply
    202.77x = 278.17 × 190.35
  4. Step 4: Simplify right side
    202.77x = 52,949.18
  5. Step 5: Solve for x
    x = 52,949.18/202.77
  6. Step 6: Final answer
    x = 261.13

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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.