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Finding the Fourth Proportional to 256.97, 384.09 and 223.77

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Solution

The fourth proportional to 256.97, 384.09 and 223.77 is: 334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 384.09 = 223.77 : x
  2. Step 2: Convert to fraction form
    256.97/384.09 = 223.77/x
  3. Step 3: Cross multiply
    256.97x = 384.09 × 223.77
  4. Step 4: Simplify right side
    256.97x = 85,948.94
  5. Step 5: Solve for x
    x = 85,948.94/256.97
  6. Step 6: Final answer
    x = 334.47

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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.