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Finding the Fourth Proportional to 548.61, 823.13 and 223.90

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Solution

The fourth proportional to 548.61, 823.13 and 223.90 is: 335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.61 : 823.13 = 223.90 : x
  2. Step 2: Convert to fraction form
    548.61/823.13 = 223.90/x
  3. Step 3: Cross multiply
    548.61x = 823.13 × 223.90
  4. Step 4: Simplify right side
    548.61x = 184,298.81
  5. Step 5: Solve for x
    x = 184,298.81/548.61
  6. Step 6: Final answer
    x = 335.94

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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.