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Finding the Fourth Proportional to 287.07, 429.99 and 267.09

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Solution

The fourth proportional to 287.07, 429.99 and 267.09 is: 400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.07 : 429.99 = 267.09 : x
  2. Step 2: Convert to fraction form
    287.07/429.99 = 267.09/x
  3. Step 3: Cross multiply
    287.07x = 429.99 × 267.09
  4. Step 4: Simplify right side
    287.07x = 114,846.03
  5. Step 5: Solve for x
    x = 114,846.03/287.07
  6. Step 6: Final answer
    x = 400.06

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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.