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Finding the Fourth Proportional to 320.98, 479.52 and 204.49

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Solution

The fourth proportional to 320.98, 479.52 and 204.49 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.98 : 479.52 = 204.49 : x
  2. Step 2: Convert to fraction form
    320.98/479.52 = 204.49/x
  3. Step 3: Cross multiply
    320.98x = 479.52 × 204.49
  4. Step 4: Simplify right side
    320.98x = 98,053.62
  5. Step 5: Solve for x
    x = 98,053.62/320.98
  6. Step 6: Final answer
    x = 305.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.