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Finding the Fourth Proportional to 380.87, 525.60 and 206.21

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Solution

The fourth proportional to 380.87, 525.60 and 206.21 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.87 : 525.60 = 206.21 : x
  2. Step 2: Convert to fraction form
    380.87/525.60 = 206.21/x
  3. Step 3: Cross multiply
    380.87x = 525.60 × 206.21
  4. Step 4: Simplify right side
    380.87x = 108,386.53
  5. Step 5: Solve for x
    x = 108,386.53/380.87
  6. Step 6: Final answer
    x = 284.58

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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.