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Finding the Fourth Proportional to 425.63, 638.47 and 133.11

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Solution

The fourth proportional to 425.63, 638.47 and 133.11 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.63 : 638.47 = 133.11 : x
  2. Step 2: Convert to fraction form
    425.63/638.47 = 133.11/x
  3. Step 3: Cross multiply
    425.63x = 638.47 × 133.11
  4. Step 4: Simplify right side
    425.63x = 84,986.91
  5. Step 5: Solve for x
    x = 84,986.91/425.63
  6. Step 6: Final answer
    x = 199.67

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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.