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Finding the Fourth Proportional to 305.38, 420.09 and 267.86

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Solution

The fourth proportional to 305.38, 420.09 and 267.86 is: 368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 420.09 = 267.86 : x
  2. Step 2: Convert to fraction form
    305.38/420.09 = 267.86/x
  3. Step 3: Cross multiply
    305.38x = 420.09 × 267.86
  4. Step 4: Simplify right side
    305.38x = 112,525.31
  5. Step 5: Solve for x
    x = 112,525.31/305.38
  6. Step 6: Final answer
    x = 368.48

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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.