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Finding the Fourth Proportional to 208.80, 310.56 and 202.56

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Solution

The fourth proportional to 208.80, 310.56 and 202.56 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 310.56 = 202.56 : x
  2. Step 2: Convert to fraction form
    208.80/310.56 = 202.56/x
  3. Step 3: Cross multiply
    208.80x = 310.56 × 202.56
  4. Step 4: Simplify right side
    208.80x = 62,907.03
  5. Step 5: Solve for x
    x = 62,907.03/208.80
  6. Step 6: Final answer
    x = 301.28

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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.