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Finding the Fourth Proportional to 305.60, 421.79 and 195.05

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Solution

The fourth proportional to 305.60, 421.79 and 195.05 is: 269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 421.79 = 195.05 : x
  2. Step 2: Convert to fraction form
    305.60/421.79 = 195.05/x
  3. Step 3: Cross multiply
    305.60x = 421.79 × 195.05
  4. Step 4: Simplify right side
    305.60x = 82,267.06
  5. Step 5: Solve for x
    x = 82,267.06/305.60
  6. Step 6: Final answer
    x = 269.20

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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.