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Finding the Fourth Proportional to 485.12, 727.68 and 196.40

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Solution

The fourth proportional to 485.12, 727.68 and 196.40 is: 294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.12 : 727.68 = 196.40 : x
  2. Step 2: Convert to fraction form
    485.12/727.68 = 196.40/x
  3. Step 3: Cross multiply
    485.12x = 727.68 × 196.40
  4. Step 4: Simplify right side
    485.12x = 142,916.35
  5. Step 5: Solve for x
    x = 142,916.35/485.12
  6. Step 6: Final answer
    x = 294.60

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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.