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Finding the Fourth Proportional to 330.03, 491.87 and 316.44

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Solution

The fourth proportional to 330.03, 491.87 and 316.44 is: 471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.03 : 491.87 = 316.44 : x
  2. Step 2: Convert to fraction form
    330.03/491.87 = 316.44/x
  3. Step 3: Cross multiply
    330.03x = 491.87 × 316.44
  4. Step 4: Simplify right side
    330.03x = 155,645.76
  5. Step 5: Solve for x
    x = 155,645.76/330.03
  6. Step 6: Final answer
    x = 471.61

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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.