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Finding the Fourth Proportional to 301.32, 453.92 and 297.54

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Solution

The fourth proportional to 301.32, 453.92 and 297.54 is: 448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.32 : 453.92 = 297.54 : x
  2. Step 2: Convert to fraction form
    301.32/453.92 = 297.54/x
  3. Step 3: Cross multiply
    301.32x = 453.92 × 297.54
  4. Step 4: Simplify right side
    301.32x = 135,059.36
  5. Step 5: Solve for x
    x = 135,059.36/301.32
  6. Step 6: Final answer
    x = 448.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.