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Finding the Fourth Proportional to 305.96, 459.78 and 161.78

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Solution

The fourth proportional to 305.96, 459.78 and 161.78 is: 243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 459.78 = 161.78 : x
  2. Step 2: Convert to fraction form
    305.96/459.78 = 161.78/x
  3. Step 3: Cross multiply
    305.96x = 459.78 × 161.78
  4. Step 4: Simplify right side
    305.96x = 74,383.21
  5. Step 5: Solve for x
    x = 74,383.21/305.96
  6. Step 6: Final answer
    x = 243.11

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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.