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Finding the Fourth Proportional to 382.11, 525.86 and 365.71

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Solution

The fourth proportional to 382.11, 525.86 and 365.71 is: 503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.11 : 525.86 = 365.71 : x
  2. Step 2: Convert to fraction form
    382.11/525.86 = 365.71/x
  3. Step 3: Cross multiply
    382.11x = 525.86 × 365.71
  4. Step 4: Simplify right side
    382.11x = 192,307.80
  5. Step 5: Solve for x
    x = 192,307.80/382.11
  6. Step 6: Final answer
    x = 503.29

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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.