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Finding the Fourth Proportional to 228.10, 339.84 and 224.93

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Solution

The fourth proportional to 228.10, 339.84 and 224.93 is: 335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.10 : 339.84 = 224.93 : x
  2. Step 2: Convert to fraction form
    228.10/339.84 = 224.93/x
  3. Step 3: Cross multiply
    228.10x = 339.84 × 224.93
  4. Step 4: Simplify right side
    228.10x = 76,440.21
  5. Step 5: Solve for x
    x = 76,440.21/228.10
  6. Step 6: Final answer
    x = 335.12

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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.