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Finding the Fourth Proportional to 380.53, 525.15 and 287.11

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Solution

The fourth proportional to 380.53, 525.15 and 287.11 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 525.15 = 287.11 : x
  2. Step 2: Convert to fraction form
    380.53/525.15 = 287.11/x
  3. Step 3: Cross multiply
    380.53x = 525.15 × 287.11
  4. Step 4: Simplify right side
    380.53x = 150,775.82
  5. Step 5: Solve for x
    x = 150,775.82/380.53
  6. Step 6: Final answer
    x = 396.23

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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.