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Finding the Fourth Proportional to 208.17, 286.47 and 202.11

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Solution

The fourth proportional to 208.17, 286.47 and 202.11 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.17 : 286.47 = 202.11 : x
  2. Step 2: Convert to fraction form
    208.17/286.47 = 202.11/x
  3. Step 3: Cross multiply
    208.17x = 286.47 × 202.11
  4. Step 4: Simplify right side
    208.17x = 57,898.45
  5. Step 5: Solve for x
    x = 57,898.45/208.17
  6. Step 6: Final answer
    x = 278.13

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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.