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Finding the Fourth Proportional to 290.43, 401.01 and 259.38

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Solution

The fourth proportional to 290.43, 401.01 and 259.38 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.43 : 401.01 = 259.38 : x
  2. Step 2: Convert to fraction form
    290.43/401.01 = 259.38/x
  3. Step 3: Cross multiply
    290.43x = 401.01 × 259.38
  4. Step 4: Simplify right side
    290.43x = 104,013.97
  5. Step 5: Solve for x
    x = 104,013.97/290.43
  6. Step 6: Final answer
    x = 358.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.