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Finding the Fourth Proportional to 456.30, 684.71 and 196.29

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Solution

The fourth proportional to 456.30, 684.71 and 196.29 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 684.71 = 196.29 : x
  2. Step 2: Convert to fraction form
    456.30/684.71 = 196.29/x
  3. Step 3: Cross multiply
    456.30x = 684.71 × 196.29
  4. Step 4: Simplify right side
    456.30x = 134,400.74
  5. Step 5: Solve for x
    x = 134,400.74/456.30
  6. Step 6: Final answer
    x = 294.54

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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.