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Finding the Fourth Proportional to 320.99, 442.90 and 189.97

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Solution

The fourth proportional to 320.99, 442.90 and 189.97 is: 262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.99 : 442.90 = 189.97 : x
  2. Step 2: Convert to fraction form
    320.99/442.90 = 189.97/x
  3. Step 3: Cross multiply
    320.99x = 442.90 × 189.97
  4. Step 4: Simplify right side
    320.99x = 84,137.71
  5. Step 5: Solve for x
    x = 84,137.71/320.99
  6. Step 6: Final answer
    x = 262.12

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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.