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Finding the Fourth Proportional to 344.35, 474.96 and 213.40

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Solution

The fourth proportional to 344.35, 474.96 and 213.40 is: 294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.35 : 474.96 = 213.40 : x
  2. Step 2: Convert to fraction form
    344.35/474.96 = 213.40/x
  3. Step 3: Cross multiply
    344.35x = 474.96 × 213.40
  4. Step 4: Simplify right side
    344.35x = 101,356.46
  5. Step 5: Solve for x
    x = 101,356.46/344.35
  6. Step 6: Final answer
    x = 294.34

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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.