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Finding the Fourth Proportional to 419.34, 626.78 and 378.12

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Solution

The fourth proportional to 419.34, 626.78 and 378.12 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 626.78 = 378.12 : x
  2. Step 2: Convert to fraction form
    419.34/626.78 = 378.12/x
  3. Step 3: Cross multiply
    419.34x = 626.78 × 378.12
  4. Step 4: Simplify right side
    419.34x = 236,998.05
  5. Step 5: Solve for x
    x = 236,998.05/419.34
  6. Step 6: Final answer
    x = 565.17

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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.