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Finding the Fourth Proportional to 287.80, 431.46 and 214.84

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Solution

The fourth proportional to 287.80, 431.46 and 214.84 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.80 : 431.46 = 214.84 : x
  2. Step 2: Convert to fraction form
    287.80/431.46 = 214.84/x
  3. Step 3: Cross multiply
    287.80x = 431.46 × 214.84
  4. Step 4: Simplify right side
    287.80x = 92,694.87
  5. Step 5: Solve for x
    x = 92,694.87/287.80
  6. Step 6: Final answer
    x = 322.08

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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.