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Finding the Fourth Proportional to 305.96, 419.05 and 295.08

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Solution

The fourth proportional to 305.96, 419.05 and 295.08 is: 404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 419.05 = 295.08 : x
  2. Step 2: Convert to fraction form
    305.96/419.05 = 295.08/x
  3. Step 3: Cross multiply
    305.96x = 419.05 × 295.08
  4. Step 4: Simplify right side
    305.96x = 123,653.27
  5. Step 5: Solve for x
    x = 123,653.27/305.96
  6. Step 6: Final answer
    x = 404.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.