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Finding the Fourth Proportional to 331.15, 497.49 and 208.14

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Solution

The fourth proportional to 331.15, 497.49 and 208.14 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.15 : 497.49 = 208.14 : x
  2. Step 2: Convert to fraction form
    331.15/497.49 = 208.14/x
  3. Step 3: Cross multiply
    331.15x = 497.49 × 208.14
  4. Step 4: Simplify right side
    331.15x = 103,545.08
  5. Step 5: Solve for x
    x = 103,545.08/331.15
  6. Step 6: Final answer
    x = 312.68

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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.