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Finding the Fourth Proportional to 266.91, 368.17 and 188.08

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Solution

The fourth proportional to 266.91, 368.17 and 188.08 is: 259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.91 : 368.17 = 188.08 : x
  2. Step 2: Convert to fraction form
    266.91/368.17 = 188.08/x
  3. Step 3: Cross multiply
    266.91x = 368.17 × 188.08
  4. Step 4: Simplify right side
    266.91x = 69,245.41
  5. Step 5: Solve for x
    x = 69,245.41/266.91
  6. Step 6: Final answer
    x = 259.43

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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.