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Finding the Fourth Proportional to 287.78, 433.40 and 252.14

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Solution

The fourth proportional to 287.78, 433.40 and 252.14 is: 379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.78 : 433.40 = 252.14 : x
  2. Step 2: Convert to fraction form
    287.78/433.40 = 252.14/x
  3. Step 3: Cross multiply
    287.78x = 433.40 × 252.14
  4. Step 4: Simplify right side
    287.78x = 109,277.48
  5. Step 5: Solve for x
    x = 109,277.48/287.78
  6. Step 6: Final answer
    x = 379.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.