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Finding the Fourth Proportional to 229.09, 341.25 and 216.67

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Solution

The fourth proportional to 229.09, 341.25 and 216.67 is: 322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.09 : 341.25 = 216.67 : x
  2. Step 2: Convert to fraction form
    229.09/341.25 = 216.67/x
  3. Step 3: Cross multiply
    229.09x = 341.25 × 216.67
  4. Step 4: Simplify right side
    229.09x = 73,938.64
  5. Step 5: Solve for x
    x = 73,938.64/229.09
  6. Step 6: Final answer
    x = 322.75

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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.