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Finding the Fourth Proportional to 275.99, 412.01 and 266.38

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Solution

The fourth proportional to 275.99, 412.01 and 266.38 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.99 : 412.01 = 266.38 : x
  2. Step 2: Convert to fraction form
    275.99/412.01 = 266.38/x
  3. Step 3: Cross multiply
    275.99x = 412.01 × 266.38
  4. Step 4: Simplify right side
    275.99x = 109,751.22
  5. Step 5: Solve for x
    x = 109,751.22/275.99
  6. Step 6: Final answer
    x = 397.66

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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.