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Finding the Fourth Proportional to 264.66, 394.75 and 223.80

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Solution

The fourth proportional to 264.66, 394.75 and 223.80 is: 333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.66 : 394.75 = 223.80 : x
  2. Step 2: Convert to fraction form
    264.66/394.75 = 223.80/x
  3. Step 3: Cross multiply
    264.66x = 394.75 × 223.80
  4. Step 4: Simplify right side
    264.66x = 88,345.05
  5. Step 5: Solve for x
    x = 88,345.05/264.66
  6. Step 6: Final answer
    x = 333.81

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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.