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Finding the Fourth Proportional to 386.05, 532.79 and 228.74

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Solution

The fourth proportional to 386.05, 532.79 and 228.74 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.05 : 532.79 = 228.74 : x
  2. Step 2: Convert to fraction form
    386.05/532.79 = 228.74/x
  3. Step 3: Cross multiply
    386.05x = 532.79 × 228.74
  4. Step 4: Simplify right side
    386.05x = 121,867.72
  5. Step 5: Solve for x
    x = 121,867.72/386.05
  6. Step 6: Final answer
    x = 315.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.