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Finding the Fourth Proportional to 293.41, 440.12 and 285.31

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Solution

The fourth proportional to 293.41, 440.12 and 285.31 is: 427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.41 : 440.12 = 285.31 : x
  2. Step 2: Convert to fraction form
    293.41/440.12 = 285.31/x
  3. Step 3: Cross multiply
    293.41x = 440.12 × 285.31
  4. Step 4: Simplify right side
    293.41x = 125,570.64
  5. Step 5: Solve for x
    x = 125,570.64/293.41
  6. Step 6: Final answer
    x = 427.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.