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Finding the Fourth Proportional to 419.11, 578.38 and 232.60

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Solution

The fourth proportional to 419.11, 578.38 and 232.60 is: 320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.11 : 578.38 = 232.60 : x
  2. Step 2: Convert to fraction form
    419.11/578.38 = 232.60/x
  3. Step 3: Cross multiply
    419.11x = 578.38 × 232.60
  4. Step 4: Simplify right side
    419.11x = 134,532.14
  5. Step 5: Solve for x
    x = 134,532.14/419.11
  6. Step 6: Final answer
    x = 320.99

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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.