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Finding the Fourth Proportional to 407.42, 611.36 and 270.54

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Solution

The fourth proportional to 407.42, 611.36 and 270.54 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.42 : 611.36 = 270.54 : x
  2. Step 2: Convert to fraction form
    407.42/611.36 = 270.54/x
  3. Step 3: Cross multiply
    407.42x = 611.36 × 270.54
  4. Step 4: Simplify right side
    407.42x = 165,397.33
  5. Step 5: Solve for x
    x = 165,397.33/407.42
  6. Step 6: Final answer
    x = 405.96

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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.