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Finding the Fourth Proportional to 228.72, 313.58 and 224.63

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Solution

The fourth proportional to 228.72, 313.58 and 224.63 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.72 : 313.58 = 224.63 : x
  2. Step 2: Convert to fraction form
    228.72/313.58 = 224.63/x
  3. Step 3: Cross multiply
    228.72x = 313.58 × 224.63
  4. Step 4: Simplify right side
    228.72x = 70,439.64
  5. Step 5: Solve for x
    x = 70,439.64/228.72
  6. Step 6: Final answer
    x = 307.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.