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Finding the Fourth Proportional to 382.98, 528.42 and 265.20

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Solution

The fourth proportional to 382.98, 528.42 and 265.20 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.98 : 528.42 = 265.20 : x
  2. Step 2: Convert to fraction form
    382.98/528.42 = 265.20/x
  3. Step 3: Cross multiply
    382.98x = 528.42 × 265.20
  4. Step 4: Simplify right side
    382.98x = 140,136.98
  5. Step 5: Solve for x
    x = 140,136.98/382.98
  6. Step 6: Final answer
    x = 365.91

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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.