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Finding the Fourth Proportional to 320.35, 442.27 and 301.90

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Solution

The fourth proportional to 320.35, 442.27 and 301.90 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.35 : 442.27 = 301.90 : x
  2. Step 2: Convert to fraction form
    320.35/442.27 = 301.90/x
  3. Step 3: Cross multiply
    320.35x = 442.27 × 301.90
  4. Step 4: Simplify right side
    320.35x = 133,521.14
  5. Step 5: Solve for x
    x = 133,521.14/320.35
  6. Step 6: Final answer
    x = 416.79

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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.