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Finding the Fourth Proportional to 419.55, 579.25 and 279.83

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Solution

The fourth proportional to 419.55, 579.25 and 279.83 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.55 : 579.25 = 279.83 : x
  2. Step 2: Convert to fraction form
    419.55/579.25 = 279.83/x
  3. Step 3: Cross multiply
    419.55x = 579.25 × 279.83
  4. Step 4: Simplify right side
    419.55x = 162,091.70
  5. Step 5: Solve for x
    x = 162,091.70/419.55
  6. Step 6: Final answer
    x = 386.34

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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.