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Finding the Fourth Proportional to 342.27, 515.49 and 261.66

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Solution

The fourth proportional to 342.27, 515.49 and 261.66 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.27 : 515.49 = 261.66 : x
  2. Step 2: Convert to fraction form
    342.27/515.49 = 261.66/x
  3. Step 3: Cross multiply
    342.27x = 515.49 × 261.66
  4. Step 4: Simplify right side
    342.27x = 134,883.11
  5. Step 5: Solve for x
    x = 134,883.11/342.27
  6. Step 6: Final answer
    x = 394.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.