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Finding the Fourth Proportional to 228.41, 313.15 and 224.31

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Solution

The fourth proportional to 228.41, 313.15 and 224.31 is: 307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.41 : 313.15 = 224.31 : x
  2. Step 2: Convert to fraction form
    228.41/313.15 = 224.31/x
  3. Step 3: Cross multiply
    228.41x = 313.15 × 224.31
  4. Step 4: Simplify right side
    228.41x = 70,242.68
  5. Step 5: Solve for x
    x = 70,242.68/228.41
  6. Step 6: Final answer
    x = 307.53

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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.