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Finding the Fourth Proportional to 214.48, 296.22 and 209.08

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Solution

The fourth proportional to 214.48, 296.22 and 209.08 is: 288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 296.22 = 209.08 : x
  2. Step 2: Convert to fraction form
    214.48/296.22 = 209.08/x
  3. Step 3: Cross multiply
    214.48x = 296.22 × 209.08
  4. Step 4: Simplify right side
    214.48x = 61,933.68
  5. Step 5: Solve for x
    x = 61,933.68/214.48
  6. Step 6: Final answer
    x = 288.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.