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Finding the Fourth Proportional to 301.48, 449.52 and 296.02

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Solution

The fourth proportional to 301.48, 449.52 and 296.02 is: 441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 449.52 = 296.02 : x
  2. Step 2: Convert to fraction form
    301.48/449.52 = 296.02/x
  3. Step 3: Cross multiply
    301.48x = 449.52 × 296.02
  4. Step 4: Simplify right side
    301.48x = 133,065.50
  5. Step 5: Solve for x
    x = 133,065.50/301.48
  6. Step 6: Final answer
    x = 441.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.