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Finding the Fourth Proportional to 335.18, 462.22 and 261.47

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Solution

The fourth proportional to 335.18, 462.22 and 261.47 is: 360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.18 : 462.22 = 261.47 : x
  2. Step 2: Convert to fraction form
    335.18/462.22 = 261.47/x
  3. Step 3: Cross multiply
    335.18x = 462.22 × 261.47
  4. Step 4: Simplify right side
    335.18x = 120,853.70
  5. Step 5: Solve for x
    x = 120,853.70/335.18
  6. Step 6: Final answer
    x = 360.57

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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.