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Finding the Fourth Proportional to 305.87, 458.53 and 161.42

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Solution

The fourth proportional to 305.87, 458.53 and 161.42 is: 241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 458.53 = 161.42 : x
  2. Step 2: Convert to fraction form
    305.87/458.53 = 161.42/x
  3. Step 3: Cross multiply
    305.87x = 458.53 × 161.42
  4. Step 4: Simplify right side
    305.87x = 74,012.81
  5. Step 5: Solve for x
    x = 74,012.81/305.87
  6. Step 6: Final answer
    x = 241.98

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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.