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Finding the Fourth Proportional to 415.43, 623.14 and 137.80

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Solution

The fourth proportional to 415.43, 623.14 and 137.80 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.43 : 623.14 = 137.80 : x
  2. Step 2: Convert to fraction form
    415.43/623.14 = 137.80/x
  3. Step 3: Cross multiply
    415.43x = 623.14 × 137.80
  4. Step 4: Simplify right side
    415.43x = 85,868.69
  5. Step 5: Solve for x
    x = 85,868.69/415.43
  6. Step 6: Final answer
    x = 206.70

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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.