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Finding the Fourth Proportional to 288.28, 397.13 and 238.28

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Solution

The fourth proportional to 288.28, 397.13 and 238.28 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 397.13 = 238.28 : x
  2. Step 2: Convert to fraction form
    288.28/397.13 = 238.28/x
  3. Step 3: Cross multiply
    288.28x = 397.13 × 238.28
  4. Step 4: Simplify right side
    288.28x = 94,628.24
  5. Step 5: Solve for x
    x = 94,628.24/288.28
  6. Step 6: Final answer
    x = 328.25

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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.