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Finding the Fourth Proportional to 229.12, 341.24 and 216.64

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Solution

The fourth proportional to 229.12, 341.24 and 216.64 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.12 : 341.24 = 216.64 : x
  2. Step 2: Convert to fraction form
    229.12/341.24 = 216.64/x
  3. Step 3: Cross multiply
    229.12x = 341.24 × 216.64
  4. Step 4: Simplify right side
    229.12x = 73,926.23
  5. Step 5: Solve for x
    x = 73,926.23/229.12
  6. Step 6: Final answer
    x = 322.65

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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.