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Finding the Fourth Proportional to 398.14, 552.74 and 386.26

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Solution

The fourth proportional to 398.14, 552.74 and 386.26 is: 536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.14 : 552.74 = 386.26 : x
  2. Step 2: Convert to fraction form
    398.14/552.74 = 386.26/x
  3. Step 3: Cross multiply
    398.14x = 552.74 × 386.26
  4. Step 4: Simplify right side
    398.14x = 213,501.35
  5. Step 5: Solve for x
    x = 213,501.35/398.14
  6. Step 6: Final answer
    x = 536.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.