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Finding the Fourth Proportional to 320.38, 442.19 and 194.40

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Solution

The fourth proportional to 320.38, 442.19 and 194.40 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 442.19 = 194.40 : x
  2. Step 2: Convert to fraction form
    320.38/442.19 = 194.40/x
  3. Step 3: Cross multiply
    320.38x = 442.19 × 194.40
  4. Step 4: Simplify right side
    320.38x = 85,962.22
  5. Step 5: Solve for x
    x = 85,962.22/320.38
  6. Step 6: Final answer
    x = 268.32

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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.