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Finding the Fourth Proportional to 392.33, 587.81 and 270.16

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Solution

The fourth proportional to 392.33, 587.81 and 270.16 is: 404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.33 : 587.81 = 270.16 : x
  2. Step 2: Convert to fraction form
    392.33/587.81 = 270.16/x
  3. Step 3: Cross multiply
    392.33x = 587.81 × 270.16
  4. Step 4: Simplify right side
    392.33x = 158,801.96
  5. Step 5: Solve for x
    x = 158,801.96/392.33
  6. Step 6: Final answer
    x = 404.76

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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.