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Finding the Fourth Proportional to 338.28, 504.96 and 312.89

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Solution

The fourth proportional to 338.28, 504.96 and 312.89 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.28 : 504.96 = 312.89 : x
  2. Step 2: Convert to fraction form
    338.28/504.96 = 312.89/x
  3. Step 3: Cross multiply
    338.28x = 504.96 × 312.89
  4. Step 4: Simplify right side
    338.28x = 157,995.54
  5. Step 5: Solve for x
    x = 157,995.54/338.28
  6. Step 6: Final answer
    x = 467.06

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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.