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Finding the Fourth Proportional to 320.58, 442.53 and 204.12

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Solution

The fourth proportional to 320.58, 442.53 and 204.12 is: 281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.58 : 442.53 = 204.12 : x
  2. Step 2: Convert to fraction form
    320.58/442.53 = 204.12/x
  3. Step 3: Cross multiply
    320.58x = 442.53 × 204.12
  4. Step 4: Simplify right side
    320.58x = 90,329.22
  5. Step 5: Solve for x
    x = 90,329.22/320.58
  6. Step 6: Final answer
    x = 281.77

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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.