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Finding the Fourth Proportional to 320.69, 442.57 and 186.14

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Solution

The fourth proportional to 320.69, 442.57 and 186.14 is: 256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.69 : 442.57 = 186.14 : x
  2. Step 2: Convert to fraction form
    320.69/442.57 = 186.14/x
  3. Step 3: Cross multiply
    320.69x = 442.57 × 186.14
  4. Step 4: Simplify right side
    320.69x = 82,380.62
  5. Step 5: Solve for x
    x = 82,380.62/320.69
  6. Step 6: Final answer
    x = 256.89

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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.