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Finding the Fourth Proportional to 384.82, 578.31 and 371.86

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Solution

The fourth proportional to 384.82, 578.31 and 371.86 is: 558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.82 : 578.31 = 371.86 : x
  2. Step 2: Convert to fraction form
    384.82/578.31 = 371.86/x
  3. Step 3: Cross multiply
    384.82x = 578.31 × 371.86
  4. Step 4: Simplify right side
    384.82x = 215,050.36
  5. Step 5: Solve for x
    x = 215,050.36/384.82
  6. Step 6: Final answer
    x = 558.83

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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.