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Finding the Fourth Proportional to 229.77, 346.28 and 216.09

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Solution

The fourth proportional to 229.77, 346.28 and 216.09 is: 325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.77 : 346.28 = 216.09 : x
  2. Step 2: Convert to fraction form
    229.77/346.28 = 216.09/x
  3. Step 3: Cross multiply
    229.77x = 346.28 × 216.09
  4. Step 4: Simplify right side
    229.77x = 74,826.56
  5. Step 5: Solve for x
    x = 74,826.56/229.77
  6. Step 6: Final answer
    x = 325.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.