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Finding the Fourth Proportional to 313.81, 467.94 and 306.82

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Solution

The fourth proportional to 313.81, 467.94 and 306.82 is: 457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.81 : 467.94 = 306.82 : x
  2. Step 2: Convert to fraction form
    313.81/467.94 = 306.82/x
  3. Step 3: Cross multiply
    313.81x = 467.94 × 306.82
  4. Step 4: Simplify right side
    313.81x = 143,575.09
  5. Step 5: Solve for x
    x = 143,575.09/313.81
  6. Step 6: Final answer
    x = 457.53

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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.