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Finding the Fourth Proportional to 382.19, 527.42 and 207.53

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Solution

The fourth proportional to 382.19, 527.42 and 207.53 is: 286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.19 : 527.42 = 207.53 : x
  2. Step 2: Convert to fraction form
    382.19/527.42 = 207.53/x
  3. Step 3: Cross multiply
    382.19x = 527.42 × 207.53
  4. Step 4: Simplify right side
    382.19x = 109,455.47
  5. Step 5: Solve for x
    x = 109,455.47/382.19
  6. Step 6: Final answer
    x = 286.39

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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.