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Finding the Fourth Proportional to 290.40, 434.40 and 194.40

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Solution

The fourth proportional to 290.40, 434.40 and 194.40 is: 290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.40 : 434.40 = 194.40 : x
  2. Step 2: Convert to fraction form
    290.40/434.40 = 194.40/x
  3. Step 3: Cross multiply
    290.40x = 434.40 × 194.40
  4. Step 4: Simplify right side
    290.40x = 84,447.36
  5. Step 5: Solve for x
    x = 84,447.36/290.40
  6. Step 6: Final answer
    x = 290.80

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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.