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Finding the Fourth Proportional to 443.24, 611.40 and 285.82

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Solution

The fourth proportional to 443.24, 611.40 and 285.82 is: 394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.24 : 611.40 = 285.82 : x
  2. Step 2: Convert to fraction form
    443.24/611.40 = 285.82/x
  3. Step 3: Cross multiply
    443.24x = 611.40 × 285.82
  4. Step 4: Simplify right side
    443.24x = 174,749.89
  5. Step 5: Solve for x
    x = 174,749.89/443.24
  6. Step 6: Final answer
    x = 394.26

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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.