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Finding the Fourth Proportional to 382.26, 527.69 and 289.02

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Solution

The fourth proportional to 382.26, 527.69 and 289.02 is: 398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.26 : 527.69 = 289.02 : x
  2. Step 2: Convert to fraction form
    382.26/527.69 = 289.02/x
  3. Step 3: Cross multiply
    382.26x = 527.69 × 289.02
  4. Step 4: Simplify right side
    382.26x = 152,513.69
  5. Step 5: Solve for x
    x = 152,513.69/382.26
  6. Step 6: Final answer
    x = 398.98

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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.