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Finding the Fourth Proportional to 266.83, 368.21 and 148.80

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Solution

The fourth proportional to 266.83, 368.21 and 148.80 is: 205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.83 : 368.21 = 148.80 : x
  2. Step 2: Convert to fraction form
    266.83/368.21 = 148.80/x
  3. Step 3: Cross multiply
    266.83x = 368.21 × 148.80
  4. Step 4: Simplify right side
    266.83x = 54,790.02
  5. Step 5: Solve for x
    x = 54,790.02/266.83
  6. Step 6: Final answer
    x = 205.34

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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.