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Finding the Fourth Proportional to 419.14, 578.43 and 232.63

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Solution

The fourth proportional to 419.14, 578.43 and 232.63 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 578.43 = 232.63 : x
  2. Step 2: Convert to fraction form
    419.14/578.43 = 232.63/x
  3. Step 3: Cross multiply
    419.14x = 578.43 × 232.63
  4. Step 4: Simplify right side
    419.14x = 134,560.19
  5. Step 5: Solve for x
    x = 134,560.19/419.14
  6. Step 6: Final answer
    x = 321.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.