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Finding the Fourth Proportional to 229.72, 343.20 and 181.66

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Solution

The fourth proportional to 229.72, 343.20 and 181.66 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.72 : 343.20 = 181.66 : x
  2. Step 2: Convert to fraction form
    229.72/343.20 = 181.66/x
  3. Step 3: Cross multiply
    229.72x = 343.20 × 181.66
  4. Step 4: Simplify right side
    229.72x = 62,345.71
  5. Step 5: Solve for x
    x = 62,345.71/229.72
  6. Step 6: Final answer
    x = 271.40

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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.