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Finding the Fourth Proportional to 326.98, 491.04 and 281.98

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Solution

The fourth proportional to 326.98, 491.04 and 281.98 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.98 : 491.04 = 281.98 : x
  2. Step 2: Convert to fraction form
    326.98/491.04 = 281.98/x
  3. Step 3: Cross multiply
    326.98x = 491.04 × 281.98
  4. Step 4: Simplify right side
    326.98x = 138,463.46
  5. Step 5: Solve for x
    x = 138,463.46/326.98
  6. Step 6: Final answer
    x = 423.46

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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.