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Finding the Fourth Proportional to 401.58, 549.76 and 398.88

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Solution

The fourth proportional to 401.58, 549.76 and 398.88 is: 546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.58 : 549.76 = 398.88 : x
  2. Step 2: Convert to fraction form
    401.58/549.76 = 398.88/x
  3. Step 3: Cross multiply
    401.58x = 549.76 × 398.88
  4. Step 4: Simplify right side
    401.58x = 219,288.27
  5. Step 5: Solve for x
    x = 219,288.27/401.58
  6. Step 6: Final answer
    x = 546.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.