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Finding the Fourth Proportional to 301.60, 450.68 and 269.20

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Solution

The fourth proportional to 301.60, 450.68 and 269.20 is: 402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.60 : 450.68 = 269.20 : x
  2. Step 2: Convert to fraction form
    301.60/450.68 = 269.20/x
  3. Step 3: Cross multiply
    301.60x = 450.68 × 269.20
  4. Step 4: Simplify right side
    301.60x = 121,323.06
  5. Step 5: Solve for x
    x = 121,323.06/301.60
  6. Step 6: Final answer
    x = 402.26

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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.