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Finding the Fourth Proportional to 290.92, 435.64 and 259.96

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Solution

The fourth proportional to 290.92, 435.64 and 259.96 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.92 : 435.64 = 259.96 : x
  2. Step 2: Convert to fraction form
    290.92/435.64 = 259.96/x
  3. Step 3: Cross multiply
    290.92x = 435.64 × 259.96
  4. Step 4: Simplify right side
    290.92x = 113,248.97
  5. Step 5: Solve for x
    x = 113,248.97/290.92
  6. Step 6: Final answer
    x = 389.28

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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.