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Finding the Fourth Proportional to 263.57, 363.77 and 153.05

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Solution

The fourth proportional to 263.57, 363.77 and 153.05 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.57 : 363.77 = 153.05 : x
  2. Step 2: Convert to fraction form
    263.57/363.77 = 153.05/x
  3. Step 3: Cross multiply
    263.57x = 363.77 × 153.05
  4. Step 4: Simplify right side
    263.57x = 55,675.14
  5. Step 5: Solve for x
    x = 55,675.14/263.57
  6. Step 6: Final answer
    x = 211.23

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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.