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Finding the Fourth Proportional to 301.60, 451.80 and 204.40

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Solution

The fourth proportional to 301.60, 451.80 and 204.40 is: 306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.60 : 451.80 = 204.40 : x
  2. Step 2: Convert to fraction form
    301.60/451.80 = 204.40/x
  3. Step 3: Cross multiply
    301.60x = 451.80 × 204.40
  4. Step 4: Simplify right side
    301.60x = 92,347.92
  5. Step 5: Solve for x
    x = 92,347.92/301.60
  6. Step 6: Final answer
    x = 306.19

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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.