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Finding the Fourth Proportional to 305.65, 456.22 and 269.20

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Solution

The fourth proportional to 305.65, 456.22 and 269.20 is: 401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 456.22 = 269.20 : x
  2. Step 2: Convert to fraction form
    305.65/456.22 = 269.20/x
  3. Step 3: Cross multiply
    305.65x = 456.22 × 269.20
  4. Step 4: Simplify right side
    305.65x = 122,812.14
  5. Step 5: Solve for x
    x = 122,812.14/305.65
  6. Step 6: Final answer
    x = 401.81

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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.