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Finding the Fourth Proportional to 548.76, 823.25 and 224.36

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Solution

The fourth proportional to 548.76, 823.25 and 224.36 is: 336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.76 : 823.25 = 224.36 : x
  2. Step 2: Convert to fraction form
    548.76/823.25 = 224.36/x
  3. Step 3: Cross multiply
    548.76x = 823.25 × 224.36
  4. Step 4: Simplify right side
    548.76x = 184,699.13
  5. Step 5: Solve for x
    x = 184,699.13/548.76
  6. Step 6: Final answer
    x = 336.58

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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.