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Finding the Fourth Proportional to 421.12, 580.78 and 323.08

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Solution

The fourth proportional to 421.12, 580.78 and 323.08 is: 445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 580.78 = 323.08 : x
  2. Step 2: Convert to fraction form
    421.12/580.78 = 323.08/x
  3. Step 3: Cross multiply
    421.12x = 580.78 × 323.08
  4. Step 4: Simplify right side
    421.12x = 187,638.40
  5. Step 5: Solve for x
    x = 187,638.40/421.12
  6. Step 6: Final answer
    x = 445.57

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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.