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Finding the Fourth Proportional to 208.23, 310.49 and 187.26

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Solution

The fourth proportional to 208.23, 310.49 and 187.26 is: 279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.23 : 310.49 = 187.26 : x
  2. Step 2: Convert to fraction form
    208.23/310.49 = 187.26/x
  3. Step 3: Cross multiply
    208.23x = 310.49 × 187.26
  4. Step 4: Simplify right side
    208.23x = 58,141.42
  5. Step 5: Solve for x
    x = 58,141.42/208.23
  6. Step 6: Final answer
    x = 279.22

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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.