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Finding the Fourth Proportional to 321.66, 484.42 and 270.63

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Solution

The fourth proportional to 321.66, 484.42 and 270.63 is: 407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.66 : 484.42 = 270.63 : x
  2. Step 2: Convert to fraction form
    321.66/484.42 = 270.63/x
  3. Step 3: Cross multiply
    321.66x = 484.42 × 270.63
  4. Step 4: Simplify right side
    321.66x = 131,098.58
  5. Step 5: Solve for x
    x = 131,098.58/321.66
  6. Step 6: Final answer
    x = 407.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.