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Finding the Fourth Proportional to 424.37, 636.34 and 150.42

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Solution

The fourth proportional to 424.37, 636.34 and 150.42 is: 225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.37 : 636.34 = 150.42 : x
  2. Step 2: Convert to fraction form
    424.37/636.34 = 150.42/x
  3. Step 3: Cross multiply
    424.37x = 636.34 × 150.42
  4. Step 4: Simplify right side
    424.37x = 95,715.50
  5. Step 5: Solve for x
    x = 95,715.50/424.37
  6. Step 6: Final answer
    x = 225.55

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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.