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Finding the Fourth Proportional to 219.27, 328.65 and 97.38

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Solution

The fourth proportional to 219.27, 328.65 and 97.38 is: 145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.27 : 328.65 = 97.38 : x
  2. Step 2: Convert to fraction form
    219.27/328.65 = 97.38/x
  3. Step 3: Cross multiply
    219.27x = 328.65 × 97.38
  4. Step 4: Simplify right side
    219.27x = 32,003.94
  5. Step 5: Solve for x
    x = 32,003.94/219.27
  6. Step 6: Final answer
    x = 145.96

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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.