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Finding the Fourth Proportional to 379.81, 524.33 and 263.17

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Solution

The fourth proportional to 379.81, 524.33 and 263.17 is: 363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.81 : 524.33 = 263.17 : x
  2. Step 2: Convert to fraction form
    379.81/524.33 = 263.17/x
  3. Step 3: Cross multiply
    379.81x = 524.33 × 263.17
  4. Step 4: Simplify right side
    379.81x = 137,987.27
  5. Step 5: Solve for x
    x = 137,987.27/379.81
  6. Step 6: Final answer
    x = 363.31

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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.