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Finding the Fourth Proportional to 290.28, 437.08 and 209.68

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Solution

The fourth proportional to 290.28, 437.08 and 209.68 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.28 : 437.08 = 209.68 : x
  2. Step 2: Convert to fraction form
    290.28/437.08 = 209.68/x
  3. Step 3: Cross multiply
    290.28x = 437.08 × 209.68
  4. Step 4: Simplify right side
    290.28x = 91,646.93
  5. Step 5: Solve for x
    x = 91,646.93/290.28
  6. Step 6: Final answer
    x = 315.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.