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Finding the Fourth Proportional to 392.44, 587.48 and 282.89

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Solution

The fourth proportional to 392.44, 587.48 and 282.89 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.44 : 587.48 = 282.89 : x
  2. Step 2: Convert to fraction form
    392.44/587.48 = 282.89/x
  3. Step 3: Cross multiply
    392.44x = 587.48 × 282.89
  4. Step 4: Simplify right side
    392.44x = 166,192.22
  5. Step 5: Solve for x
    x = 166,192.22/392.44
  6. Step 6: Final answer
    x = 423.48

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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.