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Finding the Fourth Proportional to 645.21, 968.17 and 280.00

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Solution

The fourth proportional to 645.21, 968.17 and 280.00 is: 420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.21 : 968.17 = 280.00 : x
  2. Step 2: Convert to fraction form
    645.21/968.17 = 280.00/x
  3. Step 3: Cross multiply
    645.21x = 968.17 × 280.00
  4. Step 4: Simplify right side
    645.21x = 271,084.48
  5. Step 5: Solve for x
    x = 271,084.48/645.21
  6. Step 6: Final answer
    x = 420.15

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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.