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Finding the Fourth Proportional to 382.05, 526.26 and 355.56

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Solution

The fourth proportional to 382.05, 526.26 and 355.56 is: 489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 526.26 = 355.56 : x
  2. Step 2: Convert to fraction form
    382.05/526.26 = 355.56/x
  3. Step 3: Cross multiply
    382.05x = 526.26 × 355.56
  4. Step 4: Simplify right side
    382.05x = 187,117.01
  5. Step 5: Solve for x
    x = 187,117.01/382.05
  6. Step 6: Final answer
    x = 489.77

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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.