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Finding the Fourth Proportional to 290.82, 435.54 and 209.72

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Solution

The fourth proportional to 290.82, 435.54 and 209.72 is: 314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.82 : 435.54 = 209.72 : x
  2. Step 2: Convert to fraction form
    290.82/435.54 = 209.72/x
  3. Step 3: Cross multiply
    290.82x = 435.54 × 209.72
  4. Step 4: Simplify right side
    290.82x = 91,339.27
  5. Step 5: Solve for x
    x = 91,339.27/290.82
  6. Step 6: Final answer
    x = 314.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.