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Finding the Fourth Proportional to 290.13, 435.09 and 84.64

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Solution

The fourth proportional to 290.13, 435.09 and 84.64 is: 126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 435.09 = 84.64 : x
  2. Step 2: Convert to fraction form
    290.13/435.09 = 84.64/x
  3. Step 3: Cross multiply
    290.13x = 435.09 × 84.64
  4. Step 4: Simplify right side
    290.13x = 36,824.93
  5. Step 5: Solve for x
    x = 36,824.93/290.13
  6. Step 6: Final answer
    x = 126.93

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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.