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Finding the Fourth Proportional to 456.83, 684.68 and 196.54

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Solution

The fourth proportional to 456.83, 684.68 and 196.54 is: 294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.83 : 684.68 = 196.54 : x
  2. Step 2: Convert to fraction form
    456.83/684.68 = 196.54/x
  3. Step 3: Cross multiply
    456.83x = 684.68 × 196.54
  4. Step 4: Simplify right side
    456.83x = 134,567.01
  5. Step 5: Solve for x
    x = 134,567.01/456.83
  6. Step 6: Final answer
    x = 294.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.