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Finding the Fourth Proportional to 424.20, 636.37 and 150.22

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Solution

The fourth proportional to 424.20, 636.37 and 150.22 is: 225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.20 : 636.37 = 150.22 : x
  2. Step 2: Convert to fraction form
    424.20/636.37 = 150.22/x
  3. Step 3: Cross multiply
    424.20x = 636.37 × 150.22
  4. Step 4: Simplify right side
    424.20x = 95,595.50
  5. Step 5: Solve for x
    x = 95,595.50/424.20
  6. Step 6: Final answer
    x = 225.35

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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.