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Finding the Fourth Proportional to 301.46, 450.33 and 290.66

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Solution

The fourth proportional to 301.46, 450.33 and 290.66 is: 434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.46 : 450.33 = 290.66 : x
  2. Step 2: Convert to fraction form
    301.46/450.33 = 290.66/x
  3. Step 3: Cross multiply
    301.46x = 450.33 × 290.66
  4. Step 4: Simplify right side
    301.46x = 130,889.58
  5. Step 5: Solve for x
    x = 130,889.58/301.46
  6. Step 6: Final answer
    x = 434.19

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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.