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Finding the Fourth Proportional to 381.01, 525.72 and 263.22

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Solution

The fourth proportional to 381.01, 525.72 and 263.22 is: 363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.01 : 525.72 = 263.22 : x
  2. Step 2: Convert to fraction form
    381.01/525.72 = 263.22/x
  3. Step 3: Cross multiply
    381.01x = 525.72 × 263.22
  4. Step 4: Simplify right side
    381.01x = 138,377.39
  5. Step 5: Solve for x
    x = 138,377.39/381.01
  6. Step 6: Final answer
    x = 363.19

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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.