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Finding the Fourth Proportional to 335.30, 462.35 and 261.48

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Solution

The fourth proportional to 335.30, 462.35 and 261.48 is: 360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.30 : 462.35 = 261.48 : x
  2. Step 2: Convert to fraction form
    335.30/462.35 = 261.48/x
  3. Step 3: Cross multiply
    335.30x = 462.35 × 261.48
  4. Step 4: Simplify right side
    335.30x = 120,895.93
  5. Step 5: Solve for x
    x = 120,895.93/335.30
  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.