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Finding the Fourth Proportional to 290.12, 431.58 and 287.19

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Solution

The fourth proportional to 290.12, 431.58 and 287.19 is: 427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 431.58 = 287.19 : x
  2. Step 2: Convert to fraction form
    290.12/431.58 = 287.19/x
  3. Step 3: Cross multiply
    290.12x = 431.58 × 287.19
  4. Step 4: Simplify right side
    290.12x = 123,945.46
  5. Step 5: Solve for x
    x = 123,945.46/290.12
  6. Step 6: Final answer
    x = 427.22

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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.