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Finding the Fourth Proportional to 288.21, 397.04 and 238.21

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Solution

The fourth proportional to 288.21, 397.04 and 238.21 is: 328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.21 : 397.04 = 238.21 : x
  2. Step 2: Convert to fraction form
    288.21/397.04 = 238.21/x
  3. Step 3: Cross multiply
    288.21x = 397.04 × 238.21
  4. Step 4: Simplify right side
    288.21x = 94,576.71
  5. Step 5: Solve for x
    x = 94,576.71/288.21
  6. Step 6: Final answer
    x = 328.15

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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.