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Finding the Fourth Proportional to 301.16, 417.32 and 289.82

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Solution

The fourth proportional to 301.16, 417.32 and 289.82 is: 401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.16 : 417.32 = 289.82 : x
  2. Step 2: Convert to fraction form
    301.16/417.32 = 289.82/x
  3. Step 3: Cross multiply
    301.16x = 417.32 × 289.82
  4. Step 4: Simplify right side
    301.16x = 120,947.68
  5. Step 5: Solve for x
    x = 120,947.68/301.16
  6. Step 6: Final answer
    x = 401.61

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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.