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Finding the Fourth Proportional to 382.34, 525.61 and 328.98

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Solution

The fourth proportional to 382.34, 525.61 and 328.98 is: 452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.34 : 525.61 = 328.98 : x
  2. Step 2: Convert to fraction form
    382.34/525.61 = 328.98/x
  3. Step 3: Cross multiply
    382.34x = 525.61 × 328.98
  4. Step 4: Simplify right side
    382.34x = 172,915.18
  5. Step 5: Solve for x
    x = 172,915.18/382.34
  6. Step 6: Final answer
    x = 452.26

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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.