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Finding the Fourth Proportional to 316.99, 437.25 and 217.36

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Solution

The fourth proportional to 316.99, 437.25 and 217.36 is: 299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.99 : 437.25 = 217.36 : x
  2. Step 2: Convert to fraction form
    316.99/437.25 = 217.36/x
  3. Step 3: Cross multiply
    316.99x = 437.25 × 217.36
  4. Step 4: Simplify right side
    316.99x = 95,040.66
  5. Step 5: Solve for x
    x = 95,040.66/316.99
  6. Step 6: Final answer
    x = 299.82

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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.