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Finding the Fourth Proportional to 289.23, 395.94 and 279.92

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Solution

The fourth proportional to 289.23, 395.94 and 279.92 is: 383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.23 : 395.94 = 279.92 : x
  2. Step 2: Convert to fraction form
    289.23/395.94 = 279.92/x
  3. Step 3: Cross multiply
    289.23x = 395.94 × 279.92
  4. Step 4: Simplify right side
    289.23x = 110,829.55
  5. Step 5: Solve for x
    x = 110,829.55/289.23
  6. Step 6: Final answer
    x = 383.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.