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Finding the Fourth Proportional to 330.98, 456.62 and 206.60

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Solution

The fourth proportional to 330.98, 456.62 and 206.60 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.98 : 456.62 = 206.60 : x
  2. Step 2: Convert to fraction form
    330.98/456.62 = 206.60/x
  3. Step 3: Cross multiply
    330.98x = 456.62 × 206.60
  4. Step 4: Simplify right side
    330.98x = 94,334.89
  5. Step 5: Solve for x
    x = 94,334.89/330.98
  6. Step 6: Final answer
    x = 285.02

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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.