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Finding the Fourth Proportional to 293.21, 403.92 and 238.30

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Solution

The fourth proportional to 293.21, 403.92 and 238.30 is: 328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.21 : 403.92 = 238.30 : x
  2. Step 2: Convert to fraction form
    293.21/403.92 = 238.30/x
  3. Step 3: Cross multiply
    293.21x = 403.92 × 238.30
  4. Step 4: Simplify right side
    293.21x = 96,254.14
  5. Step 5: Solve for x
    x = 96,254.14/293.21
  6. Step 6: Final answer
    x = 328.28

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