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Finding the Fourth Proportional to 320.96, 478.64 and 301.79

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Solution

The fourth proportional to 320.96, 478.64 and 301.79 is: 450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.96 : 478.64 = 301.79 : x
  2. Step 2: Convert to fraction form
    320.96/478.64 = 301.79/x
  3. Step 3: Cross multiply
    320.96x = 478.64 × 301.79
  4. Step 4: Simplify right side
    320.96x = 144,450.72
  5. Step 5: Solve for x
    x = 144,450.72/320.96
  6. Step 6: Final answer
    x = 450.05

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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.