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Finding the Fourth Proportional to 309.29, 426.53 and 216

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Solution

The fourth proportional to 309.29, 426.53 and 216 is: 297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.29 : 426.53 = 216 : x
  2. Step 2: Convert to fraction form
    309.29/426.53 = 216/x
  3. Step 3: Cross multiply
    309.29x = 426.53 × 216
  4. Step 4: Simplify right side
    309.29x = 92,131.02
  5. Step 5: Solve for x
    x = 92,131.02/309.29
  6. Step 6: Final answer
    x = 297.88

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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.