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Finding the Fourth Proportional to 386, 578.66 and 154.74

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Solution

The fourth proportional to 386, 578.66 and 154.74 is: 231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 578.66 = 154.74 : x
  2. Step 2: Convert to fraction form
    386/578.66 = 154.74/x
  3. Step 3: Cross multiply
    386x = 578.66 × 154.74
  4. Step 4: Simplify right side
    386x = 89,541.85
  5. Step 5: Solve for x
    x = 89,541.85/386
  6. Step 6: Final answer
    x = 231.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.