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Finding the Fourth Proportional to 310.65, 467.78 and 224.58

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Solution

The fourth proportional to 310.65, 467.78 and 224.58 is: 338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.65 : 467.78 = 224.58 : x
  2. Step 2: Convert to fraction form
    310.65/467.78 = 224.58/x
  3. Step 3: Cross multiply
    310.65x = 467.78 × 224.58
  4. Step 4: Simplify right side
    310.65x = 105,054.03
  5. Step 5: Solve for x
    x = 105,054.03/310.65
  6. Step 6: Final answer
    x = 338.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.