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Finding the Fourth Proportional to 392.58, 587.91 and 254.86

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Solution

The fourth proportional to 392.58, 587.91 and 254.86 is: 381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.58 : 587.91 = 254.86 : x
  2. Step 2: Convert to fraction form
    392.58/587.91 = 254.86/x
  3. Step 3: Cross multiply
    392.58x = 587.91 × 254.86
  4. Step 4: Simplify right side
    392.58x = 149,834.74
  5. Step 5: Solve for x
    x = 149,834.74/392.58
  6. Step 6: Final answer
    x = 381.67

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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.