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Finding the Fourth Proportional to 344.86, 476.08 and 213.91

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Solution

The fourth proportional to 344.86, 476.08 and 213.91 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.86 : 476.08 = 213.91 : x
  2. Step 2: Convert to fraction form
    344.86/476.08 = 213.91/x
  3. Step 3: Cross multiply
    344.86x = 476.08 × 213.91
  4. Step 4: Simplify right side
    344.86x = 101,836.55
  5. Step 5: Solve for x
    x = 101,836.55/344.86
  6. Step 6: Final answer
    x = 295.30

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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.