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Finding the Fourth Proportional to 256.16, 382.27 and 228.82

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Solution

The fourth proportional to 256.16, 382.27 and 228.82 is: 341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 382.27 = 228.82 : x
  2. Step 2: Convert to fraction form
    256.16/382.27 = 228.82/x
  3. Step 3: Cross multiply
    256.16x = 382.27 × 228.82
  4. Step 4: Simplify right side
    256.16x = 87,471.02
  5. Step 5: Solve for x
    x = 87,471.02/256.16
  6. Step 6: Final answer
    x = 341.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.