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Finding the Fourth Proportional to 330.17, 457.71 and 323.48

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Solution

The fourth proportional to 330.17, 457.71 and 323.48 is: 448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.17 : 457.71 = 323.48 : x
  2. Step 2: Convert to fraction form
    330.17/457.71 = 323.48/x
  3. Step 3: Cross multiply
    330.17x = 457.71 × 323.48
  4. Step 4: Simplify right side
    330.17x = 148,057.74
  5. Step 5: Solve for x
    x = 148,057.74/330.17
  6. Step 6: Final answer
    x = 448.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.