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Finding the Fourth Proportional to 401.36, 549.70 and 397.04

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Solution

The fourth proportional to 401.36, 549.70 and 397.04 is: 543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.36 : 549.70 = 397.04 : x
  2. Step 2: Convert to fraction form
    401.36/549.70 = 397.04/x
  3. Step 3: Cross multiply
    401.36x = 549.70 × 397.04
  4. Step 4: Simplify right side
    401.36x = 218,252.89
  5. Step 5: Solve for x
    x = 218,252.89/401.36
  6. Step 6: Final answer
    x = 543.78

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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.