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Finding the Fourth Proportional to 642.66, 964.03 and 203.92

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Solution

The fourth proportional to 642.66, 964.03 and 203.92 is: 305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.66 : 964.03 = 203.92 : x
  2. Step 2: Convert to fraction form
    642.66/964.03 = 203.92/x
  3. Step 3: Cross multiply
    642.66x = 964.03 × 203.92
  4. Step 4: Simplify right side
    642.66x = 196,585.00
  5. Step 5: Solve for x
    x = 196,585.00/642.66
  6. Step 6: Final answer
    x = 305.89

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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.