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Finding the Fourth Proportional to 208.17, 288.77 and 202.50

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Solution

The fourth proportional to 208.17, 288.77 and 202.50 is: 280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.17 : 288.77 = 202.50 : x
  2. Step 2: Convert to fraction form
    208.17/288.77 = 202.50/x
  3. Step 3: Cross multiply
    208.17x = 288.77 × 202.50
  4. Step 4: Simplify right side
    208.17x = 58,474.91
  5. Step 5: Solve for x
    x = 58,474.91/208.17
  6. Step 6: Final answer
    x = 280.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.