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Finding the Fourth Proportional to 217.55, 299.80 and 151.94

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Solution

The fourth proportional to 217.55, 299.80 and 151.94 is: 209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.55 : 299.80 = 151.94 : x
  2. Step 2: Convert to fraction form
    217.55/299.80 = 151.94/x
  3. Step 3: Cross multiply
    217.55x = 299.80 × 151.94
  4. Step 4: Simplify right side
    217.55x = 45,551.98
  5. Step 5: Solve for x
    x = 45,551.98/217.55
  6. Step 6: Final answer
    x = 209.38

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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.