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Finding the Fourth Proportional to 290.04, 434.62 and 209.40

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Solution

The fourth proportional to 290.04, 434.62 and 209.40 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 434.62 = 209.40 : x
  2. Step 2: Convert to fraction form
    290.04/434.62 = 209.40/x
  3. Step 3: Cross multiply
    290.04x = 434.62 × 209.40
  4. Step 4: Simplify right side
    290.04x = 91,009.43
  5. Step 5: Solve for x
    x = 91,009.43/290.04
  6. Step 6: Final answer
    x = 313.78

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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.