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Finding the Fourth Proportional to 330.57, 496.08 and 208.71

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Solution

The fourth proportional to 330.57, 496.08 and 208.71 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.57 : 496.08 = 208.71 : x
  2. Step 2: Convert to fraction form
    330.57/496.08 = 208.71/x
  3. Step 3: Cross multiply
    330.57x = 496.08 × 208.71
  4. Step 4: Simplify right side
    330.57x = 103,536.86
  5. Step 5: Solve for x
    x = 103,536.86/330.57
  6. Step 6: Final answer
    x = 313.21

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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.