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Finding the Fourth Proportional to 407.72, 611.64 and 133.80

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Solution

The fourth proportional to 407.72, 611.64 and 133.80 is: 200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.72 : 611.64 = 133.80 : x
  2. Step 2: Convert to fraction form
    407.72/611.64 = 133.80/x
  3. Step 3: Cross multiply
    407.72x = 611.64 × 133.80
  4. Step 4: Simplify right side
    407.72x = 81,837.43
  5. Step 5: Solve for x
    x = 81,837.43/407.72
  6. Step 6: Final answer
    x = 200.72

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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.