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Finding the Fourth Proportional to 287.14, 429.84 and 213.82

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Solution

The fourth proportional to 287.14, 429.84 and 213.82 is: 320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.14 : 429.84 = 213.82 : x
  2. Step 2: Convert to fraction form
    287.14/429.84 = 213.82/x
  3. Step 3: Cross multiply
    287.14x = 429.84 × 213.82
  4. Step 4: Simplify right side
    287.14x = 91,908.39
  5. Step 5: Solve for x
    x = 91,908.39/287.14
  6. Step 6: Final answer
    x = 320.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.