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Finding the Fourth Proportional to 421.81, 583.19 and 323.89

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Solution

The fourth proportional to 421.81, 583.19 and 323.89 is: 447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.81 : 583.19 = 323.89 : x
  2. Step 2: Convert to fraction form
    421.81/583.19 = 323.89/x
  3. Step 3: Cross multiply
    421.81x = 583.19 × 323.89
  4. Step 4: Simplify right side
    421.81x = 188,887.79
  5. Step 5: Solve for x
    x = 188,887.79/421.81
  6. Step 6: Final answer
    x = 447.80

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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.