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Finding the Fourth Proportional to 320.75, 442.64 and 204.47

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Solution

The fourth proportional to 320.75, 442.64 and 204.47 is: 282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.75 : 442.64 = 204.47 : x
  2. Step 2: Convert to fraction form
    320.75/442.64 = 204.47/x
  3. Step 3: Cross multiply
    320.75x = 442.64 × 204.47
  4. Step 4: Simplify right side
    320.75x = 90,506.60
  5. Step 5: Solve for x
    x = 90,506.60/320.75
  6. Step 6: Final answer
    x = 282.17

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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.