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Finding the Fourth Proportional to 407.27, 611.50 and 234.13

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Solution

The fourth proportional to 407.27, 611.50 and 234.13 is: 351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.27 : 611.50 = 234.13 : x
  2. Step 2: Convert to fraction form
    407.27/611.50 = 234.13/x
  3. Step 3: Cross multiply
    407.27x = 611.50 × 234.13
  4. Step 4: Simplify right side
    407.27x = 143,170.50
  5. Step 5: Solve for x
    x = 143,170.50/407.27
  6. Step 6: Final answer
    x = 351.54

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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.