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Finding the Fourth Proportional to 330.82, 456.40 and 206.45

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Solution

The fourth proportional to 330.82, 456.40 and 206.45 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.82 : 456.40 = 206.45 : x
  2. Step 2: Convert to fraction form
    330.82/456.40 = 206.45/x
  3. Step 3: Cross multiply
    330.82x = 456.40 × 206.45
  4. Step 4: Simplify right side
    330.82x = 94,223.47
  5. Step 5: Solve for x
    x = 94,223.47/330.82
  6. Step 6: Final answer
    x = 284.82

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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.