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Finding the Fourth Proportional to 386.09, 532.84 and 228.77

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Solution

The fourth proportional to 386.09, 532.84 and 228.77 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.09 : 532.84 = 228.77 : x
  2. Step 2: Convert to fraction form
    386.09/532.84 = 228.77/x
  3. Step 3: Cross multiply
    386.09x = 532.84 × 228.77
  4. Step 4: Simplify right side
    386.09x = 121,895.90
  5. Step 5: Solve for x
    x = 121,895.90/386.09
  6. Step 6: Final answer
    x = 315.72

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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.