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Finding the Fourth Proportional to 419.58, 579.03 and 233.09

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Solution

The fourth proportional to 419.58, 579.03 and 233.09 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 579.03 = 233.09 : x
  2. Step 2: Convert to fraction form
    419.58/579.03 = 233.09/x
  3. Step 3: Cross multiply
    419.58x = 579.03 × 233.09
  4. Step 4: Simplify right side
    419.58x = 134,963.21
  5. Step 5: Solve for x
    x = 134,963.21/419.58
  6. Step 6: Final answer
    x = 321.66

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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.