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Finding the Fourth Proportional to 309.92, 463.98 and 213.44

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Solution

The fourth proportional to 309.92, 463.98 and 213.44 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 463.98 = 213.44 : x
  2. Step 2: Convert to fraction form
    309.92/463.98 = 213.44/x
  3. Step 3: Cross multiply
    309.92x = 463.98 × 213.44
  4. Step 4: Simplify right side
    309.92x = 99,031.89
  5. Step 5: Solve for x
    x = 99,031.89/309.92
  6. Step 6: Final answer
    x = 319.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.