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Finding the Fourth Proportional to 266.61, 367.91 and 148.57

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Solution

The fourth proportional to 266.61, 367.91 and 148.57 is: 205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.61 : 367.91 = 148.57 : x
  2. Step 2: Convert to fraction form
    266.61/367.91 = 148.57/x
  3. Step 3: Cross multiply
    266.61x = 367.91 × 148.57
  4. Step 4: Simplify right side
    266.61x = 54,662.33
  5. Step 5: Solve for x
    x = 54,662.33/266.61
  6. Step 6: Final answer
    x = 205.03

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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.