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Finding the Fourth Proportional to 287.31, 428.37 and 264.09

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Solution

The fourth proportional to 287.31, 428.37 and 264.09 is: 393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.31 : 428.37 = 264.09 : x
  2. Step 2: Convert to fraction form
    287.31/428.37 = 264.09/x
  3. Step 3: Cross multiply
    287.31x = 428.37 × 264.09
  4. Step 4: Simplify right side
    287.31x = 113,128.23
  5. Step 5: Solve for x
    x = 113,128.23/287.31
  6. Step 6: Final answer
    x = 393.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.