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Finding the Fourth Proportional to 301.12, 414.90 and 290.32

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Solution

The fourth proportional to 301.12, 414.90 and 290.32 is: 400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 414.90 = 290.32 : x
  2. Step 2: Convert to fraction form
    301.12/414.90 = 290.32/x
  3. Step 3: Cross multiply
    301.12x = 414.90 × 290.32
  4. Step 4: Simplify right side
    301.12x = 120,453.77
  5. Step 5: Solve for x
    x = 120,453.77/301.12
  6. Step 6: Final answer
    x = 400.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.