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Finding the Fourth Proportional to 337.69, 465.64 and 213.20

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Solution

The fourth proportional to 337.69, 465.64 and 213.20 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 465.64 = 213.20 : x
  2. Step 2: Convert to fraction form
    337.69/465.64 = 213.20/x
  3. Step 3: Cross multiply
    337.69x = 465.64 × 213.20
  4. Step 4: Simplify right side
    337.69x = 99,274.45
  5. Step 5: Solve for x
    x = 99,274.45/337.69
  6. Step 6: Final answer
    x = 293.98

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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.