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Finding the Fourth Proportional to 330.32, 455.96 and 206.08

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Solution

The fourth proportional to 330.32, 455.96 and 206.08 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.32 : 455.96 = 206.08 : x
  2. Step 2: Convert to fraction form
    330.32/455.96 = 206.08/x
  3. Step 3: Cross multiply
    330.32x = 455.96 × 206.08
  4. Step 4: Simplify right side
    330.32x = 93,964.24
  5. Step 5: Solve for x
    x = 93,964.24/330.32
  6. Step 6: Final answer
    x = 284.46

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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.