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Finding the Fourth Proportional to 319.50, 476.60 and 314.22

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Solution

The fourth proportional to 319.50, 476.60 and 314.22 is: 468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 476.60 = 314.22 : x
  2. Step 2: Convert to fraction form
    319.50/476.60 = 314.22/x
  3. Step 3: Cross multiply
    319.50x = 476.60 × 314.22
  4. Step 4: Simplify right side
    319.50x = 149,753.30
  5. Step 5: Solve for x
    x = 149,753.30/319.50
  6. Step 6: Final answer
    x = 468.71

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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.