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Finding the Fourth Proportional to 217.30, 299.61 and 158.98

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Solution

The fourth proportional to 217.30, 299.61 and 158.98 is: 219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.30 : 299.61 = 158.98 : x
  2. Step 2: Convert to fraction form
    217.30/299.61 = 158.98/x
  3. Step 3: Cross multiply
    217.30x = 299.61 × 158.98
  4. Step 4: Simplify right side
    217.30x = 47,632.00
  5. Step 5: Solve for x
    x = 47,632.00/217.30
  6. Step 6: Final answer
    x = 219.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.