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Finding the Fourth Proportional to 266.79, 368.25 and 161.88

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Solution

The fourth proportional to 266.79, 368.25 and 161.88 is: 223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.79 : 368.25 = 161.88 : x
  2. Step 2: Convert to fraction form
    266.79/368.25 = 161.88/x
  3. Step 3: Cross multiply
    266.79x = 368.25 × 161.88
  4. Step 4: Simplify right side
    266.79x = 59,612.31
  5. Step 5: Solve for x
    x = 59,612.31/266.79
  6. Step 6: Final answer
    x = 223.44

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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.