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Finding the Fourth Proportional to 419.21, 578.54 and 232.74

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Solution

The fourth proportional to 419.21, 578.54 and 232.74 is: 321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 578.54 = 232.74 : x
  2. Step 2: Convert to fraction form
    419.21/578.54 = 232.74/x
  3. Step 3: Cross multiply
    419.21x = 578.54 × 232.74
  4. Step 4: Simplify right side
    419.21x = 134,649.98
  5. Step 5: Solve for x
    x = 134,649.98/419.21
  6. Step 6: Final answer
    x = 321.20

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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.