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Finding the Fourth Proportional to 341.91, 471.58 and 223.75

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Solution

The fourth proportional to 341.91, 471.58 and 223.75 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.91 : 471.58 = 223.75 : x
  2. Step 2: Convert to fraction form
    341.91/471.58 = 223.75/x
  3. Step 3: Cross multiply
    341.91x = 471.58 × 223.75
  4. Step 4: Simplify right side
    341.91x = 105,516.03
  5. Step 5: Solve for x
    x = 105,516.03/341.91
  6. Step 6: Final answer
    x = 308.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.