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Finding the Fourth Proportional to 321.32, 479.45 and 301.72

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Solution

The fourth proportional to 321.32, 479.45 and 301.72 is: 450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.32 : 479.45 = 301.72 : x
  2. Step 2: Convert to fraction form
    321.32/479.45 = 301.72/x
  3. Step 3: Cross multiply
    321.32x = 479.45 × 301.72
  4. Step 4: Simplify right side
    321.32x = 144,658.74
  5. Step 5: Solve for x
    x = 144,658.74/321.32
  6. Step 6: Final answer
    x = 450.21

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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.