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Finding the Fourth Proportional to 320.38, 482.41 and 234.28

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Solution

The fourth proportional to 320.38, 482.41 and 234.28 is: 352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 482.41 = 234.28 : x
  2. Step 2: Convert to fraction form
    320.38/482.41 = 234.28/x
  3. Step 3: Cross multiply
    320.38x = 482.41 × 234.28
  4. Step 4: Simplify right side
    320.38x = 113,019.01
  5. Step 5: Solve for x
    x = 113,019.01/320.38
  6. Step 6: Final answer
    x = 352.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.