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Finding the Fourth Proportional to 266.78, 368.13 and 153.21

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Solution

The fourth proportional to 266.78, 368.13 and 153.21 is: 211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 368.13 = 153.21 : x
  2. Step 2: Convert to fraction form
    266.78/368.13 = 153.21/x
  3. Step 3: Cross multiply
    266.78x = 368.13 × 153.21
  4. Step 4: Simplify right side
    266.78x = 56,403.15
  5. Step 5: Solve for x
    x = 56,403.15/266.78
  6. Step 6: Final answer
    x = 211.42

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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.