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Finding the Fourth Proportional to 316.08, 472.44 and 224.16

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Solution

The fourth proportional to 316.08, 472.44 and 224.16 is: 335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 472.44 = 224.16 : x
  2. Step 2: Convert to fraction form
    316.08/472.44 = 224.16/x
  3. Step 3: Cross multiply
    316.08x = 472.44 × 224.16
  4. Step 4: Simplify right side
    316.08x = 105,902.15
  5. Step 5: Solve for x
    x = 105,902.15/316.08
  6. Step 6: Final answer
    x = 335.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.