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Finding the Fourth Proportional to 398.51, 549.88 and 221.46

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Solution

The fourth proportional to 398.51, 549.88 and 221.46 is: 305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.51 : 549.88 = 221.46 : x
  2. Step 2: Convert to fraction form
    398.51/549.88 = 221.46/x
  3. Step 3: Cross multiply
    398.51x = 549.88 × 221.46
  4. Step 4: Simplify right side
    398.51x = 121,776.42
  5. Step 5: Solve for x
    x = 121,776.42/398.51
  6. Step 6: Final answer
    x = 305.58

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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.