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Finding the Fourth Proportional to 642.96, 964.17 and 204.09

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Solution

The fourth proportional to 642.96, 964.17 and 204.09 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 964.17 = 204.09 : x
  2. Step 2: Convert to fraction form
    642.96/964.17 = 204.09/x
  3. Step 3: Cross multiply
    642.96x = 964.17 × 204.09
  4. Step 4: Simplify right side
    642.96x = 196,777.46
  5. Step 5: Solve for x
    x = 196,777.46/642.96
  6. Step 6: Final answer
    x = 306.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.