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Finding the Fourth Proportional to 419.88, 579.43 and 233.37

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Solution

The fourth proportional to 419.88, 579.43 and 233.37 is: 322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 579.43 = 233.37 : x
  2. Step 2: Convert to fraction form
    419.88/579.43 = 233.37/x
  3. Step 3: Cross multiply
    419.88x = 579.43 × 233.37
  4. Step 4: Simplify right side
    419.88x = 135,220.77
  5. Step 5: Solve for x
    x = 135,220.77/419.88
  6. Step 6: Final answer
    x = 322.05

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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.