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Finding the Fourth Proportional to 263.54, 363.67 and 153

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Solution

The fourth proportional to 263.54, 363.67 and 153 is: 211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.54 : 363.67 = 153 : x
  2. Step 2: Convert to fraction form
    263.54/363.67 = 153/x
  3. Step 3: Cross multiply
    263.54x = 363.67 × 153
  4. Step 4: Simplify right side
    263.54x = 55,641.70
  5. Step 5: Solve for x
    x = 55,641.70/263.54
  6. Step 6: Final answer
    x = 211.13

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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.