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Finding the Fourth Proportional to 267.23, 368.61 and 238.07

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Solution

The fourth proportional to 267.23, 368.61 and 238.07 is: 328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.23 : 368.61 = 238.07 : x
  2. Step 2: Convert to fraction form
    267.23/368.61 = 238.07/x
  3. Step 3: Cross multiply
    267.23x = 368.61 × 238.07
  4. Step 4: Simplify right side
    267.23x = 87,753.14
  5. Step 5: Solve for x
    x = 87,753.14/267.23
  6. Step 6: Final answer
    x = 328.39

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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.