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Finding the Fourth Proportional to 335.10, 461.40 and 304.20

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Solution

The fourth proportional to 335.10, 461.40 and 304.20 is: 418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.10 : 461.40 = 304.20 : x
  2. Step 2: Convert to fraction form
    335.10/461.40 = 304.20/x
  3. Step 3: Cross multiply
    335.10x = 461.40 × 304.20
  4. Step 4: Simplify right side
    335.10x = 140,357.88
  5. Step 5: Solve for x
    x = 140,357.88/335.10
  6. Step 6: Final answer
    x = 418.85

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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.