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Finding the Fourth Proportional to 213.18, 296.54 and 209.22

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Solution

The fourth proportional to 213.18, 296.54 and 209.22 is: 291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.18 : 296.54 = 209.22 : x
  2. Step 2: Convert to fraction form
    213.18/296.54 = 209.22/x
  3. Step 3: Cross multiply
    213.18x = 296.54 × 209.22
  4. Step 4: Simplify right side
    213.18x = 62,041.05
  5. Step 5: Solve for x
    x = 62,041.05/213.18
  6. Step 6: Final answer
    x = 291.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.