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Finding the Fourth Proportional to 256.91, 383.39 and 229.57

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Solution

The fourth proportional to 256.91, 383.39 and 229.57 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 383.39 = 229.57 : x
  2. Step 2: Convert to fraction form
    256.91/383.39 = 229.57/x
  3. Step 3: Cross multiply
    256.91x = 383.39 × 229.57
  4. Step 4: Simplify right side
    256.91x = 88,014.84
  5. Step 5: Solve for x
    x = 88,014.84/256.91
  6. Step 6: Final answer
    x = 342.59

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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.