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Finding the Fourth Proportional to 300.06, 447.78 and 256.70

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Solution

The fourth proportional to 300.06, 447.78 and 256.70 is: 383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.06 : 447.78 = 256.70 : x
  2. Step 2: Convert to fraction form
    300.06/447.78 = 256.70/x
  3. Step 3: Cross multiply
    300.06x = 447.78 × 256.70
  4. Step 4: Simplify right side
    300.06x = 114,945.13
  5. Step 5: Solve for x
    x = 114,945.13/300.06
  6. Step 6: Final answer
    x = 383.07

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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.