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Finding the Fourth Proportional to 320.68, 479.82 and 302.44

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Solution

The fourth proportional to 320.68, 479.82 and 302.44 is: 452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.68 : 479.82 = 302.44 : x
  2. Step 2: Convert to fraction form
    320.68/479.82 = 302.44/x
  3. Step 3: Cross multiply
    320.68x = 479.82 × 302.44
  4. Step 4: Simplify right side
    320.68x = 145,116.76
  5. Step 5: Solve for x
    x = 145,116.76/320.68
  6. Step 6: Final answer
    x = 452.53

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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.