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Finding the Fourth Proportional to 407.38, 611.07 and 133.47

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Solution

The fourth proportional to 407.38, 611.07 and 133.47 is: 200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.38 : 611.07 = 133.47 : x
  2. Step 2: Convert to fraction form
    407.38/611.07 = 133.47/x
  3. Step 3: Cross multiply
    407.38x = 611.07 × 133.47
  4. Step 4: Simplify right side
    407.38x = 81,559.51
  5. Step 5: Solve for x
    x = 81,559.51/407.38
  6. Step 6: Final answer
    x = 200.21

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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.