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Finding the Fourth Proportional to 335.42, 461.87 and 297.54

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Solution

The fourth proportional to 335.42, 461.87 and 297.54 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.42 : 461.87 = 297.54 : x
  2. Step 2: Convert to fraction form
    335.42/461.87 = 297.54/x
  3. Step 3: Cross multiply
    335.42x = 461.87 × 297.54
  4. Step 4: Simplify right side
    335.42x = 137,424.80
  5. Step 5: Solve for x
    x = 137,424.80/335.42
  6. Step 6: Final answer
    x = 409.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.