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Finding the Fourth Proportional to 335.42, 461.91 and 231.74

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Solution

The fourth proportional to 335.42, 461.91 and 231.74 is: 319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.42 : 461.91 = 231.74 : x
  2. Step 2: Convert to fraction form
    335.42/461.91 = 231.74/x
  3. Step 3: Cross multiply
    335.42x = 461.91 × 231.74
  4. Step 4: Simplify right side
    335.42x = 107,043.02
  5. Step 5: Solve for x
    x = 107,043.02/335.42
  6. Step 6: Final answer
    x = 319.13

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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.