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Finding the Fourth Proportional to 290.03, 434.86 and 159.92

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Solution

The fourth proportional to 290.03, 434.86 and 159.92 is: 239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.03 : 434.86 = 159.92 : x
  2. Step 2: Convert to fraction form
    290.03/434.86 = 159.92/x
  3. Step 3: Cross multiply
    290.03x = 434.86 × 159.92
  4. Step 4: Simplify right side
    290.03x = 69,542.81
  5. Step 5: Solve for x
    x = 69,542.81/290.03
  6. Step 6: Final answer
    x = 239.78

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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.