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Finding the Fourth Proportional to 445.54, 668.40 and 137.42

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Solution

The fourth proportional to 445.54, 668.40 and 137.42 is: 206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.54 : 668.40 = 137.42 : x
  2. Step 2: Convert to fraction form
    445.54/668.40 = 137.42/x
  3. Step 3: Cross multiply
    445.54x = 668.40 × 137.42
  4. Step 4: Simplify right side
    445.54x = 91,851.53
  5. Step 5: Solve for x
    x = 91,851.53/445.54
  6. Step 6: Final answer
    x = 206.16

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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.