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Finding the Fourth Proportional to 316.13, 473.69 and 224.75

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Solution

The fourth proportional to 316.13, 473.69 and 224.75 is: 336.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.13 : 473.69 = 224.75 : x
  2. Step 2: Convert to fraction form
    316.13/473.69 = 224.75/x
  3. Step 3: Cross multiply
    316.13x = 473.69 × 224.75
  4. Step 4: Simplify right side
    316.13x = 106,458.34
  5. Step 5: Solve for x
    x = 106,458.34/316.13
  6. Step 6: Final answer
    x = 336.76

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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.