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Finding the Fourth Proportional to 256.77, 355.12 and 229.09

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Solution

The fourth proportional to 256.77, 355.12 and 229.09 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.77 : 355.12 = 229.09 : x
  2. Step 2: Convert to fraction form
    256.77/355.12 = 229.09/x
  3. Step 3: Cross multiply
    256.77x = 355.12 × 229.09
  4. Step 4: Simplify right side
    256.77x = 81,355.11
  5. Step 5: Solve for x
    x = 81,355.11/256.77
  6. Step 6: Final answer
    x = 316.84

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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.