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Finding the Fourth Proportional to 320.83, 442.82 and 196.57

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Solution

The fourth proportional to 320.83, 442.82 and 196.57 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.83 : 442.82 = 196.57 : x
  2. Step 2: Convert to fraction form
    320.83/442.82 = 196.57/x
  3. Step 3: Cross multiply
    320.83x = 442.82 × 196.57
  4. Step 4: Simplify right side
    320.83x = 87,047.71
  5. Step 5: Solve for x
    x = 87,047.71/320.83
  6. Step 6: Final answer
    x = 271.32

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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.