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Finding the Fourth Proportional to 320.32, 442.01 and 209.62

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Solution

The fourth proportional to 320.32, 442.01 and 209.62 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 442.01 = 209.62 : x
  2. Step 2: Convert to fraction form
    320.32/442.01 = 209.62/x
  3. Step 3: Cross multiply
    320.32x = 442.01 × 209.62
  4. Step 4: Simplify right side
    320.32x = 92,653.56
  5. Step 5: Solve for x
    x = 92,653.56/320.32
  6. Step 6: Final answer
    x = 289.26

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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.