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Finding the Fourth Proportional to 419.34, 626.60 and 319.97

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Solution

The fourth proportional to 419.34, 626.60 and 319.97 is: 478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 626.60 = 319.97 : x
  2. Step 2: Convert to fraction form
    419.34/626.60 = 319.97/x
  3. Step 3: Cross multiply
    419.34x = 626.60 × 319.97
  4. Step 4: Simplify right side
    419.34x = 200,490.87
  5. Step 5: Solve for x
    x = 200,490.87/419.34
  6. Step 6: Final answer
    x = 478.11

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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.