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Finding the Fourth Proportional to 401.16, 549.94 and 394.78

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Solution

The fourth proportional to 401.16, 549.94 and 394.78 is: 541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.16 : 549.94 = 394.78 : x
  2. Step 2: Convert to fraction form
    401.16/549.94 = 394.78/x
  3. Step 3: Cross multiply
    401.16x = 549.94 × 394.78
  4. Step 4: Simplify right side
    401.16x = 217,105.31
  5. Step 5: Solve for x
    x = 217,105.31/401.16
  6. Step 6: Final answer
    x = 541.19

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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.