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Finding the Fourth Proportional to 290.65, 400.81 and 259.87

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Solution

The fourth proportional to 290.65, 400.81 and 259.87 is: 358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.65 : 400.81 = 259.87 : x
  2. Step 2: Convert to fraction form
    290.65/400.81 = 259.87/x
  3. Step 3: Cross multiply
    290.65x = 400.81 × 259.87
  4. Step 4: Simplify right side
    290.65x = 104,158.49
  5. Step 5: Solve for x
    x = 104,158.49/290.65
  6. Step 6: Final answer
    x = 358.36

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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.