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Finding the Fourth Proportional to 655.28, 983.06 and 216.67

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Solution

The fourth proportional to 655.28, 983.06 and 216.67 is: 325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.28 : 983.06 = 216.67 : x
  2. Step 2: Convert to fraction form
    655.28/983.06 = 216.67/x
  3. Step 3: Cross multiply
    655.28x = 983.06 × 216.67
  4. Step 4: Simplify right side
    655.28x = 212,997.69
  5. Step 5: Solve for x
    x = 212,997.69/655.28
  6. Step 6: Final answer
    x = 325.05

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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.