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Finding the Fourth Proportional to 548.34, 822.12 and 223.74

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Solution

The fourth proportional to 548.34, 822.12 and 223.74 is: 335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.34 : 822.12 = 223.74 : x
  2. Step 2: Convert to fraction form
    548.34/822.12 = 223.74/x
  3. Step 3: Cross multiply
    548.34x = 822.12 × 223.74
  4. Step 4: Simplify right side
    548.34x = 183,941.13
  5. Step 5: Solve for x
    x = 183,941.13/548.34
  6. Step 6: Final answer
    x = 335.45

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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.