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Finding the Fourth Proportional to 228.89, 313.43 and 216.41

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Solution

The fourth proportional to 228.89, 313.43 and 216.41 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.89 : 313.43 = 216.41 : x
  2. Step 2: Convert to fraction form
    228.89/313.43 = 216.41/x
  3. Step 3: Cross multiply
    228.89x = 313.43 × 216.41
  4. Step 4: Simplify right side
    228.89x = 67,826.74
  5. Step 5: Solve for x
    x = 67,826.74/228.89
  6. Step 6: Final answer
    x = 296.34

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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.