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Finding the Fourth Proportional to 301.34, 449.36 and 294.05

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Solution

The fourth proportional to 301.34, 449.36 and 294.05 is: 438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.34 : 449.36 = 294.05 : x
  2. Step 2: Convert to fraction form
    301.34/449.36 = 294.05/x
  3. Step 3: Cross multiply
    301.34x = 449.36 × 294.05
  4. Step 4: Simplify right side
    301.34x = 132,130.59
  5. Step 5: Solve for x
    x = 132,130.59/301.34
  6. Step 6: Final answer
    x = 438.48

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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.