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Finding the Fourth Proportional to 256.15, 384.27 and 111.79

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Solution

The fourth proportional to 256.15, 384.27 and 111.79 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.15 : 384.27 = 111.79 : x
  2. Step 2: Convert to fraction form
    256.15/384.27 = 111.79/x
  3. Step 3: Cross multiply
    256.15x = 384.27 × 111.79
  4. Step 4: Simplify right side
    256.15x = 42,957.54
  5. Step 5: Solve for x
    x = 42,957.54/256.15
  6. Step 6: Final answer
    x = 167.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.