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Finding the Fourth Proportional to 386, 578.96 and 142.34

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Solution

The fourth proportional to 386, 578.96 and 142.34 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 578.96 = 142.34 : x
  2. Step 2: Convert to fraction form
    386/578.96 = 142.34/x
  3. Step 3: Cross multiply
    386x = 578.96 × 142.34
  4. Step 4: Simplify right side
    386x = 82,409.17
  5. Step 5: Solve for x
    x = 82,409.17/386
  6. Step 6: Final answer
    x = 213.50

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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.