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Finding the Fourth Proportional to 321.26, 478.48 and 301.28

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Solution

The fourth proportional to 321.26, 478.48 and 301.28 is: 448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.26 : 478.48 = 301.28 : x
  2. Step 2: Convert to fraction form
    321.26/478.48 = 301.28/x
  3. Step 3: Cross multiply
    321.26x = 478.48 × 301.28
  4. Step 4: Simplify right side
    321.26x = 144,156.45
  5. Step 5: Solve for x
    x = 144,156.45/321.26
  6. Step 6: Final answer
    x = 448.72

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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.