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Finding the Fourth Proportional to 305.68, 418.10 and 300.89

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Solution

The fourth proportional to 305.68, 418.10 and 300.89 is: 411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.68 : 418.10 = 300.89 : x
  2. Step 2: Convert to fraction form
    305.68/418.10 = 300.89/x
  3. Step 3: Cross multiply
    305.68x = 418.10 × 300.89
  4. Step 4: Simplify right side
    305.68x = 125,800.60
  5. Step 5: Solve for x
    x = 125,800.60/305.68
  6. Step 6: Final answer
    x = 411.55

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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.