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Finding the Fourth Proportional to 415.32, 622.91 and 137.68

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Solution

The fourth proportional to 415.32, 622.91 and 137.68 is: 206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.32 : 622.91 = 137.68 : x
  2. Step 2: Convert to fraction form
    415.32/622.91 = 137.68/x
  3. Step 3: Cross multiply
    415.32x = 622.91 × 137.68
  4. Step 4: Simplify right side
    415.32x = 85,762.25
  5. Step 5: Solve for x
    x = 85,762.25/415.32
  6. Step 6: Final answer
    x = 206.50

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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.