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Finding the Fourth Proportional to 291.41, 433.89 and 287.03

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Solution

The fourth proportional to 291.41, 433.89 and 287.03 is: 427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.41 : 433.89 = 287.03 : x
  2. Step 2: Convert to fraction form
    291.41/433.89 = 287.03/x
  3. Step 3: Cross multiply
    291.41x = 433.89 × 287.03
  4. Step 4: Simplify right side
    291.41x = 124,537.28
  5. Step 5: Solve for x
    x = 124,537.28/291.41
  6. Step 6: Final answer
    x = 427.37

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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.