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Finding the Fourth Proportional to 305.75, 459.32 and 184.11

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Solution

The fourth proportional to 305.75, 459.32 and 184.11 is: 276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 459.32 = 184.11 : x
  2. Step 2: Convert to fraction form
    305.75/459.32 = 184.11/x
  3. Step 3: Cross multiply
    305.75x = 459.32 × 184.11
  4. Step 4: Simplify right side
    305.75x = 84,562.76
  5. Step 5: Solve for x
    x = 84,562.76/305.75
  6. Step 6: Final answer
    x = 276.57

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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.