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Finding the Fourth Proportional to 421.06, 581.22 and 246.55

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Solution

The fourth proportional to 421.06, 581.22 and 246.55 is: 340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.06 : 581.22 = 246.55 : x
  2. Step 2: Convert to fraction form
    421.06/581.22 = 246.55/x
  3. Step 3: Cross multiply
    421.06x = 581.22 × 246.55
  4. Step 4: Simplify right side
    421.06x = 143,299.79
  5. Step 5: Solve for x
    x = 143,299.79/421.06
  6. Step 6: Final answer
    x = 340.33

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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.