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Finding the Fourth Proportional to 381.87, 526.79 and 263.96

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Solution

The fourth proportional to 381.87, 526.79 and 263.96 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 526.79 = 263.96 : x
  2. Step 2: Convert to fraction form
    381.87/526.79 = 263.96/x
  3. Step 3: Cross multiply
    381.87x = 526.79 × 263.96
  4. Step 4: Simplify right side
    381.87x = 139,053.47
  5. Step 5: Solve for x
    x = 139,053.47/381.87
  6. Step 6: Final answer
    x = 364.13

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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.