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Finding the Fourth Proportional to 320.32, 441.79 and 208.17

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Solution

The fourth proportional to 320.32, 441.79 and 208.17 is: 287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 441.79 = 208.17 : x
  2. Step 2: Convert to fraction form
    320.32/441.79 = 208.17/x
  3. Step 3: Cross multiply
    320.32x = 441.79 × 208.17
  4. Step 4: Simplify right side
    320.32x = 91,967.42
  5. Step 5: Solve for x
    x = 91,967.42/320.32
  6. Step 6: Final answer
    x = 287.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.