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Finding the Fourth Proportional to 267.30, 368.69 and 169.02

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Solution

The fourth proportional to 267.30, 368.69 and 169.02 is: 233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.30 : 368.69 = 169.02 : x
  2. Step 2: Convert to fraction form
    267.30/368.69 = 169.02/x
  3. Step 3: Cross multiply
    267.30x = 368.69 × 169.02
  4. Step 4: Simplify right side
    267.30x = 62,315.14
  5. Step 5: Solve for x
    x = 62,315.14/267.30
  6. Step 6: Final answer
    x = 233.13

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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.