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Finding the Fourth Proportional to 424.06, 636.15 and 146.43

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Solution

The fourth proportional to 424.06, 636.15 and 146.43 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.06 : 636.15 = 146.43 : x
  2. Step 2: Convert to fraction form
    424.06/636.15 = 146.43/x
  3. Step 3: Cross multiply
    424.06x = 636.15 × 146.43
  4. Step 4: Simplify right side
    424.06x = 93,153.78
  5. Step 5: Solve for x
    x = 93,153.78/424.06
  6. Step 6: Final answer
    x = 219.67

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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.