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Finding the Fourth Proportional to 338.96, 506 and 313.24

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Solution

The fourth proportional to 338.96, 506 and 313.24 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 506 = 313.24 : x
  2. Step 2: Convert to fraction form
    338.96/506 = 313.24/x
  3. Step 3: Cross multiply
    338.96x = 506 × 313.24
  4. Step 4: Simplify right side
    338.96x = 158,499.44
  5. Step 5: Solve for x
    x = 158,499.44/338.96
  6. Step 6: Final answer
    x = 467.61

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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.