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Finding the Fourth Proportional to 263.54, 363.89 and 170.35

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Solution

The fourth proportional to 263.54, 363.89 and 170.35 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.54 : 363.89 = 170.35 : x
  2. Step 2: Convert to fraction form
    263.54/363.89 = 170.35/x
  3. Step 3: Cross multiply
    263.54x = 363.89 × 170.35
  4. Step 4: Simplify right side
    263.54x = 61,986.90
  5. Step 5: Solve for x
    x = 61,986.90/263.54
  6. Step 6: Final answer
    x = 235.21

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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.