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Finding the Fourth Proportional to 382.84, 575.05 and 253.03

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Solution

The fourth proportional to 382.84, 575.05 and 253.03 is: 380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 575.05 = 253.03 : x
  2. Step 2: Convert to fraction form
    382.84/575.05 = 253.03/x
  3. Step 3: Cross multiply
    382.84x = 575.05 × 253.03
  4. Step 4: Simplify right side
    382.84x = 145,504.90
  5. Step 5: Solve for x
    x = 145,504.90/382.84
  6. Step 6: Final answer
    x = 380.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.