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Finding the Fourth Proportional to 266.63, 367.97 and 148.61

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Solution

The fourth proportional to 266.63, 367.97 and 148.61 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 367.97 = 148.61 : x
  2. Step 2: Convert to fraction form
    266.63/367.97 = 148.61/x
  3. Step 3: Cross multiply
    266.63x = 367.97 × 148.61
  4. Step 4: Simplify right side
    266.63x = 54,684.20
  5. Step 5: Solve for x
    x = 54,684.20/266.63
  6. Step 6: Final answer
    x = 205.10

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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.