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Finding the Fourth Proportional to 217.15, 299.30 and 151.54

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Solution

The fourth proportional to 217.15, 299.30 and 151.54 is: 208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.15 : 299.30 = 151.54 : x
  2. Step 2: Convert to fraction form
    217.15/299.30 = 151.54/x
  3. Step 3: Cross multiply
    217.15x = 299.30 × 151.54
  4. Step 4: Simplify right side
    217.15x = 45,354.42
  5. Step 5: Solve for x
    x = 45,354.42/217.15
  6. Step 6: Final answer
    x = 208.86

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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.