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Finding the Fourth Proportional to 213.48, 318.93 and 209.61

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Solution

The fourth proportional to 213.48, 318.93 and 209.61 is: 313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 318.93 = 209.61 : x
  2. Step 2: Convert to fraction form
    213.48/318.93 = 209.61/x
  3. Step 3: Cross multiply
    213.48x = 318.93 × 209.61
  4. Step 4: Simplify right side
    213.48x = 66,850.92
  5. Step 5: Solve for x
    x = 66,850.92/213.48
  6. Step 6: Final answer
    x = 313.15

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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.