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Finding the Fourth Proportional to 366.80, 506.64 and 267.06

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Solution

The fourth proportional to 366.80, 506.64 and 267.06 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.80 : 506.64 = 267.06 : x
  2. Step 2: Convert to fraction form
    366.80/506.64 = 267.06/x
  3. Step 3: Cross multiply
    366.80x = 506.64 × 267.06
  4. Step 4: Simplify right side
    366.80x = 135,303.28
  5. Step 5: Solve for x
    x = 135,303.28/366.80
  6. Step 6: Final answer
    x = 368.87

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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.