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Finding the Fourth Proportional to 263.69, 363.80 and 153.20

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Solution

The fourth proportional to 263.69, 363.80 and 153.20 is: 211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.69 : 363.80 = 153.20 : x
  2. Step 2: Convert to fraction form
    263.69/363.80 = 153.20/x
  3. Step 3: Cross multiply
    263.69x = 363.80 × 153.20
  4. Step 4: Simplify right side
    263.69x = 55,734.00
  5. Step 5: Solve for x
    x = 55,734.00/263.69
  6. Step 6: Final answer
    x = 211.36

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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.