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Finding the Fourth Proportional to 319.61, 477.09 and 310.97

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Solution

The fourth proportional to 319.61, 477.09 and 310.97 is: 464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.61 : 477.09 = 310.97 : x
  2. Step 2: Convert to fraction form
    319.61/477.09 = 310.97/x
  3. Step 3: Cross multiply
    319.61x = 477.09 × 310.97
  4. Step 4: Simplify right side
    319.61x = 148,361.87
  5. Step 5: Solve for x
    x = 148,361.87/319.61
  6. Step 6: Final answer
    x = 464.19

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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.