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Finding the Fourth Proportional to 401.13, 605.32 and 386.19

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Solution

The fourth proportional to 401.13, 605.32 and 386.19 is: 582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.13 : 605.32 = 386.19 : x
  2. Step 2: Convert to fraction form
    401.13/605.32 = 386.19/x
  3. Step 3: Cross multiply
    401.13x = 605.32 × 386.19
  4. Step 4: Simplify right side
    401.13x = 233,767.57
  5. Step 5: Solve for x
    x = 233,767.57/401.13
  6. Step 6: Final answer
    x = 582.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.