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Finding the Fourth Proportional to 305.54, 457.41 and 189.61

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Solution

The fourth proportional to 305.54, 457.41 and 189.61 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.54 : 457.41 = 189.61 : x
  2. Step 2: Convert to fraction form
    305.54/457.41 = 189.61/x
  3. Step 3: Cross multiply
    305.54x = 457.41 × 189.61
  4. Step 4: Simplify right side
    305.54x = 86,728.56
  5. Step 5: Solve for x
    x = 86,728.56/305.54
  6. Step 6: Final answer
    x = 283.85

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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.