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Finding the Fourth Proportional to 401.43, 550.18 and 389.08

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Solution

The fourth proportional to 401.43, 550.18 and 389.08 is: 533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.43 : 550.18 = 389.08 : x
  2. Step 2: Convert to fraction form
    401.43/550.18 = 389.08/x
  3. Step 3: Cross multiply
    401.43x = 550.18 × 389.08
  4. Step 4: Simplify right side
    401.43x = 214,064.03
  5. Step 5: Solve for x
    x = 214,064.03/401.43
  6. Step 6: Final answer
    x = 533.25

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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.