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Finding the Fourth Proportional to 268.04, 368.14 and 238.88

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Solution

The fourth proportional to 268.04, 368.14 and 238.88 is: 328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.04 : 368.14 = 238.88 : x
  2. Step 2: Convert to fraction form
    268.04/368.14 = 238.88/x
  3. Step 3: Cross multiply
    268.04x = 368.14 × 238.88
  4. Step 4: Simplify right side
    268.04x = 87,941.28
  5. Step 5: Solve for x
    x = 87,941.28/268.04
  6. Step 6: Final answer
    x = 328.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.