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Finding the Fourth Proportional to 289.48, 399.38 and 178.77

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Solution

The fourth proportional to 289.48, 399.38 and 178.77 is: 246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.48 : 399.38 = 178.77 : x
  2. Step 2: Convert to fraction form
    289.48/399.38 = 178.77/x
  3. Step 3: Cross multiply
    289.48x = 399.38 × 178.77
  4. Step 4: Simplify right side
    289.48x = 71,394.77
  5. Step 5: Solve for x
    x = 71,394.77/289.48
  6. Step 6: Final answer
    x = 246.63

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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.