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Finding the Fourth Proportional to 330.75, 456.16 and 206.34

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Solution

The fourth proportional to 330.75, 456.16 and 206.34 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.75 : 456.16 = 206.34 : x
  2. Step 2: Convert to fraction form
    330.75/456.16 = 206.34/x
  3. Step 3: Cross multiply
    330.75x = 456.16 × 206.34
  4. Step 4: Simplify right side
    330.75x = 94,124.05
  5. Step 5: Solve for x
    x = 94,124.05/330.75
  6. Step 6: Final answer
    x = 284.58

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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.