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Finding the Fourth Proportional to 321, 480.93 and 205.17

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Solution

The fourth proportional to 321, 480.93 and 205.17 is: 307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 480.93 = 205.17 : x
  2. Step 2: Convert to fraction form
    321/480.93 = 205.17/x
  3. Step 3: Cross multiply
    321x = 480.93 × 205.17
  4. Step 4: Simplify right side
    321x = 98,672.41
  5. Step 5: Solve for x
    x = 98,672.41/321
  6. Step 6: Final answer
    x = 307.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.