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Finding the Fourth Proportional to 301.96, 452.98 and 119.31

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Solution

The fourth proportional to 301.96, 452.98 and 119.31 is: 178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 452.98 = 119.31 : x
  2. Step 2: Convert to fraction form
    301.96/452.98 = 119.31/x
  3. Step 3: Cross multiply
    301.96x = 452.98 × 119.31
  4. Step 4: Simplify right side
    301.96x = 54,045.04
  5. Step 5: Solve for x
    x = 54,045.04/301.96
  6. Step 6: Final answer
    x = 178.98

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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.