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Finding the Fourth Proportional to 266.99, 368.51 and 173.84

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Solution

The fourth proportional to 266.99, 368.51 and 173.84 is: 239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.99 : 368.51 = 173.84 : x
  2. Step 2: Convert to fraction form
    266.99/368.51 = 173.84/x
  3. Step 3: Cross multiply
    266.99x = 368.51 × 173.84
  4. Step 4: Simplify right side
    266.99x = 64,059.07
  5. Step 5: Solve for x
    x = 64,059.07/266.99
  6. Step 6: Final answer
    x = 239.94

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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.