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Finding the Fourth Proportional to 321.48, 479.90 and 298.98

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Solution

The fourth proportional to 321.48, 479.90 and 298.98 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.48 : 479.90 = 298.98 : x
  2. Step 2: Convert to fraction form
    321.48/479.90 = 298.98/x
  3. Step 3: Cross multiply
    321.48x = 479.90 × 298.98
  4. Step 4: Simplify right side
    321.48x = 143,479.01
  5. Step 5: Solve for x
    x = 143,479.01/321.48
  6. Step 6: Final answer
    x = 446.31

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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.