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Finding the Fourth Proportional to 313.18, 467.86 and 224.63

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Solution

The fourth proportional to 313.18, 467.86 and 224.63 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.18 : 467.86 = 224.63 : x
  2. Step 2: Convert to fraction form
    313.18/467.86 = 224.63/x
  3. Step 3: Cross multiply
    313.18x = 467.86 × 224.63
  4. Step 4: Simplify right side
    313.18x = 105,095.39
  5. Step 5: Solve for x
    x = 105,095.39/313.18
  6. Step 6: Final answer
    x = 335.58

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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.