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Finding the Fourth Proportional to 382.35, 526.44 and 308.85

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Solution

The fourth proportional to 382.35, 526.44 and 308.85 is: 425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.35 : 526.44 = 308.85 : x
  2. Step 2: Convert to fraction form
    382.35/526.44 = 308.85/x
  3. Step 3: Cross multiply
    382.35x = 526.44 × 308.85
  4. Step 4: Simplify right side
    382.35x = 162,590.99
  5. Step 5: Solve for x
    x = 162,590.99/382.35
  6. Step 6: Final answer
    x = 425.24

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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.