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Finding the Fourth Proportional to 419.35, 578.72 and 232.86

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Solution

The fourth proportional to 419.35, 578.72 and 232.86 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.35 : 578.72 = 232.86 : x
  2. Step 2: Convert to fraction form
    419.35/578.72 = 232.86/x
  3. Step 3: Cross multiply
    419.35x = 578.72 × 232.86
  4. Step 4: Simplify right side
    419.35x = 134,760.74
  5. Step 5: Solve for x
    x = 134,760.74/419.35
  6. Step 6: Final answer
    x = 321.36

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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.