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Finding the Fourth Proportional to 326.10, 490.99 and 287.82

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Solution

The fourth proportional to 326.10, 490.99 and 287.82 is: 433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.10 : 490.99 = 287.82 : x
  2. Step 2: Convert to fraction form
    326.10/490.99 = 287.82/x
  3. Step 3: Cross multiply
    326.10x = 490.99 × 287.82
  4. Step 4: Simplify right side
    326.10x = 141,316.74
  5. Step 5: Solve for x
    x = 141,316.74/326.10
  6. Step 6: Final answer
    x = 433.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.