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Finding the Fourth Proportional to 228.91, 342.16 and 223.44

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Solution

The fourth proportional to 228.91, 342.16 and 223.44 is: 333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.91 : 342.16 = 223.44 : x
  2. Step 2: Convert to fraction form
    228.91/342.16 = 223.44/x
  3. Step 3: Cross multiply
    228.91x = 342.16 × 223.44
  4. Step 4: Simplify right side
    228.91x = 76,451.67
  5. Step 5: Solve for x
    x = 76,451.67/228.91
  6. Step 6: Final answer
    x = 333.99

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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.