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Finding the Fourth Proportional to 326.75, 487.90 and 284.83

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Solution

The fourth proportional to 326.75, 487.90 and 284.83 is: 425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.75 : 487.90 = 284.83 : x
  2. Step 2: Convert to fraction form
    326.75/487.90 = 284.83/x
  3. Step 3: Cross multiply
    326.75x = 487.90 × 284.83
  4. Step 4: Simplify right side
    326.75x = 138,968.56
  5. Step 5: Solve for x
    x = 138,968.56/326.75
  6. Step 6: Final answer
    x = 425.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.