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Finding the Fourth Proportional to 360.11, 538.31 and 267.77

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Solution

The fourth proportional to 360.11, 538.31 and 267.77 is: 400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.11 : 538.31 = 267.77 : x
  2. Step 2: Convert to fraction form
    360.11/538.31 = 267.77/x
  3. Step 3: Cross multiply
    360.11x = 538.31 × 267.77
  4. Step 4: Simplify right side
    360.11x = 144,145.28
  5. Step 5: Solve for x
    x = 144,145.28/360.11
  6. Step 6: Final answer
    x = 400.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.