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Finding the Fourth Proportional to 344.02, 474.87 and 213.10

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Solution

The fourth proportional to 344.02, 474.87 and 213.10 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.02 : 474.87 = 213.10 : x
  2. Step 2: Convert to fraction form
    344.02/474.87 = 213.10/x
  3. Step 3: Cross multiply
    344.02x = 474.87 × 213.10
  4. Step 4: Simplify right side
    344.02x = 101,194.80
  5. Step 5: Solve for x
    x = 101,194.80/344.02
  6. Step 6: Final answer
    x = 294.15

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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.