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Finding the Fourth Proportional to 208.64, 311.20 and 202.24

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Solution

The fourth proportional to 208.64, 311.20 and 202.24 is: 301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 311.20 = 202.24 : x
  2. Step 2: Convert to fraction form
    208.64/311.20 = 202.24/x
  3. Step 3: Cross multiply
    208.64x = 311.20 × 202.24
  4. Step 4: Simplify right side
    208.64x = 62,937.09
  5. Step 5: Solve for x
    x = 62,937.09/208.64
  6. Step 6: Final answer
    x = 301.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.