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Finding the Fourth Proportional to 305.87, 458.83 and 123.28

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Solution

The fourth proportional to 305.87, 458.83 and 123.28 is: 184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 458.83 = 123.28 : x
  2. Step 2: Convert to fraction form
    305.87/458.83 = 123.28/x
  3. Step 3: Cross multiply
    305.87x = 458.83 × 123.28
  4. Step 4: Simplify right side
    305.87x = 56,563.57
  5. Step 5: Solve for x
    x = 56,563.57/305.87
  6. Step 6: Final answer
    x = 184.93

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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.