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Finding the Fourth Proportional to 382.08, 524.40 and 339.68

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Solution

The fourth proportional to 382.08, 524.40 and 339.68 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 524.40 = 339.68 : x
  2. Step 2: Convert to fraction form
    382.08/524.40 = 339.68/x
  3. Step 3: Cross multiply
    382.08x = 524.40 × 339.68
  4. Step 4: Simplify right side
    382.08x = 178,128.19
  5. Step 5: Solve for x
    x = 178,128.19/382.08
  6. Step 6: Final answer
    x = 466.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.