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Finding the Fourth Proportional to 213.45, 318.73 and 187.22

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Solution

The fourth proportional to 213.45, 318.73 and 187.22 is: 279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.45 : 318.73 = 187.22 : x
  2. Step 2: Convert to fraction form
    213.45/318.73 = 187.22/x
  3. Step 3: Cross multiply
    213.45x = 318.73 × 187.22
  4. Step 4: Simplify right side
    213.45x = 59,672.63
  5. Step 5: Solve for x
    x = 59,672.63/213.45
  6. Step 6: Final answer
    x = 279.56

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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.