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Finding the Fourth Proportional to 266.85, 368.48 and 168.78

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Solution

The fourth proportional to 266.85, 368.48 and 168.78 is: 233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.85 : 368.48 = 168.78 : x
  2. Step 2: Convert to fraction form
    266.85/368.48 = 168.78/x
  3. Step 3: Cross multiply
    266.85x = 368.48 × 168.78
  4. Step 4: Simplify right side
    266.85x = 62,192.48
  5. Step 5: Solve for x
    x = 62,192.48/266.85
  6. Step 6: Final answer
    x = 233.06

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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.