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Finding the Fourth Proportional to 290.94, 401.75 and 186.23

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Solution

The fourth proportional to 290.94, 401.75 and 186.23 is: 257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.94 : 401.75 = 186.23 : x
  2. Step 2: Convert to fraction form
    290.94/401.75 = 186.23/x
  3. Step 3: Cross multiply
    290.94x = 401.75 × 186.23
  4. Step 4: Simplify right side
    290.94x = 74,814.96
  5. Step 5: Solve for x
    x = 74,814.96/290.94
  6. Step 6: Final answer
    x = 257.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.