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Finding the Fourth Proportional to 309.47, 463.64 and 217.76

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Solution

The fourth proportional to 309.47, 463.64 and 217.76 is: 326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.47 : 463.64 = 217.76 : x
  2. Step 2: Convert to fraction form
    309.47/463.64 = 217.76/x
  3. Step 3: Cross multiply
    309.47x = 463.64 × 217.76
  4. Step 4: Simplify right side
    309.47x = 100,958.84
  5. Step 5: Solve for x
    x = 100,958.84/309.47
  6. Step 6: Final answer
    x = 326.24

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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.