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Finding the Fourth Proportional to 398.02, 549.26 and 223.37

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Solution

The fourth proportional to 398.02, 549.26 and 223.37 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.02 : 549.26 = 223.37 : x
  2. Step 2: Convert to fraction form
    398.02/549.26 = 223.37/x
  3. Step 3: Cross multiply
    398.02x = 549.26 × 223.37
  4. Step 4: Simplify right side
    398.02x = 122,686.02
  5. Step 5: Solve for x
    x = 122,686.02/398.02
  6. Step 6: Final answer
    x = 308.24

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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.