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Finding the Fourth Proportional to 224.24, 308.15 and 187.34

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Solution

The fourth proportional to 224.24, 308.15 and 187.34 is: 257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.24 : 308.15 = 187.34 : x
  2. Step 2: Convert to fraction form
    224.24/308.15 = 187.34/x
  3. Step 3: Cross multiply
    224.24x = 308.15 × 187.34
  4. Step 4: Simplify right side
    224.24x = 57,727.27
  5. Step 5: Solve for x
    x = 57,727.27/224.24
  6. Step 6: Final answer
    x = 257.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.