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Finding the Fourth Proportional to 300.51, 416.64 and 290.39

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Solution

The fourth proportional to 300.51, 416.64 and 290.39 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.51 : 416.64 = 290.39 : x
  2. Step 2: Convert to fraction form
    300.51/416.64 = 290.39/x
  3. Step 3: Cross multiply
    300.51x = 416.64 × 290.39
  4. Step 4: Simplify right side
    300.51x = 120,987.10
  5. Step 5: Solve for x
    x = 120,987.10/300.51
  6. Step 6: Final answer
    x = 402.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.