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Finding the Fourth Proportional to 645.11, 967.00 and 254.95

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Solution

The fourth proportional to 645.11, 967.00 and 254.95 is: 382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.11 : 967.00 = 254.95 : x
  2. Step 2: Convert to fraction form
    645.11/967.00 = 254.95/x
  3. Step 3: Cross multiply
    645.11x = 967.00 × 254.95
  4. Step 4: Simplify right side
    645.11x = 246,538.18
  5. Step 5: Solve for x
    x = 246,538.18/645.11
  6. Step 6: Final answer
    x = 382.17

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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.