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Finding the Fourth Proportional to 196.28, 293.39 and 150.15

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Solution

The fourth proportional to 196.28, 293.39 and 150.15 is: 224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.28 : 293.39 = 150.15 : x
  2. Step 2: Convert to fraction form
    196.28/293.39 = 150.15/x
  3. Step 3: Cross multiply
    196.28x = 293.39 × 150.15
  4. Step 4: Simplify right side
    196.28x = 44,051.76
  5. Step 5: Solve for x
    x = 44,051.76/196.28
  6. Step 6: Final answer
    x = 224.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.