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Finding the Fourth Proportional to 421.11, 580.65 and 342.21

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Solution

The fourth proportional to 421.11, 580.65 and 342.21 is: 471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.11 : 580.65 = 342.21 : x
  2. Step 2: Convert to fraction form
    421.11/580.65 = 342.21/x
  3. Step 3: Cross multiply
    421.11x = 580.65 × 342.21
  4. Step 4: Simplify right side
    421.11x = 198,704.24
  5. Step 5: Solve for x
    x = 198,704.24/421.11
  6. Step 6: Final answer
    x = 471.86

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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.