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Finding the Fourth Proportional to 213.22, 318.29 and 185.88

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Solution

The fourth proportional to 213.22, 318.29 and 185.88 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.22 : 318.29 = 185.88 : x
  2. Step 2: Convert to fraction form
    213.22/318.29 = 185.88/x
  3. Step 3: Cross multiply
    213.22x = 318.29 × 185.88
  4. Step 4: Simplify right side
    213.22x = 59,162.15
  5. Step 5: Solve for x
    x = 59,162.15/213.22
  6. Step 6: Final answer
    x = 277.47

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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.