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Finding the Fourth Proportional to 266.68, 369.73 and 261.40

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Solution

The fourth proportional to 266.68, 369.73 and 261.40 is: 362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.68 : 369.73 = 261.40 : x
  2. Step 2: Convert to fraction form
    266.68/369.73 = 261.40/x
  3. Step 3: Cross multiply
    266.68x = 369.73 × 261.40
  4. Step 4: Simplify right side
    266.68x = 96,647.42
  5. Step 5: Solve for x
    x = 96,647.42/266.68
  6. Step 6: Final answer
    x = 362.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.