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Finding the Fourth Proportional to 229.18, 341.60 and 216.21

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Solution

The fourth proportional to 229.18, 341.60 and 216.21 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.18 : 341.60 = 216.21 : x
  2. Step 2: Convert to fraction form
    229.18/341.60 = 216.21/x
  3. Step 3: Cross multiply
    229.18x = 341.60 × 216.21
  4. Step 4: Simplify right side
    229.18x = 73,857.34
  5. Step 5: Solve for x
    x = 73,857.34/229.18
  6. Step 6: Final answer
    x = 322.27

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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.