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Finding the Fourth Proportional to 330.23, 455.72 and 205.94

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Solution

The fourth proportional to 330.23, 455.72 and 205.94 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.23 : 455.72 = 205.94 : x
  2. Step 2: Convert to fraction form
    330.23/455.72 = 205.94/x
  3. Step 3: Cross multiply
    330.23x = 455.72 × 205.94
  4. Step 4: Simplify right side
    330.23x = 93,847.67
  5. Step 5: Solve for x
    x = 93,847.67/330.23
  6. Step 6: Final answer
    x = 284.19

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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.