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Finding the Fourth Proportional to 385.81, 532.44 and 228.57

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Solution

The fourth proportional to 385.81, 532.44 and 228.57 is: 315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.81 : 532.44 = 228.57 : x
  2. Step 2: Convert to fraction form
    385.81/532.44 = 228.57/x
  3. Step 3: Cross multiply
    385.81x = 532.44 × 228.57
  4. Step 4: Simplify right side
    385.81x = 121,697.15
  5. Step 5: Solve for x
    x = 121,697.15/385.81
  6. Step 6: Final answer
    x = 315.43

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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.