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Finding the Fourth Proportional to 303.27, 417.73 and 283.11

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Solution

The fourth proportional to 303.27, 417.73 and 283.11 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.27 : 417.73 = 283.11 : x
  2. Step 2: Convert to fraction form
    303.27/417.73 = 283.11/x
  3. Step 3: Cross multiply
    303.27x = 417.73 × 283.11
  4. Step 4: Simplify right side
    303.27x = 118,263.54
  5. Step 5: Solve for x
    x = 118,263.54/303.27
  6. Step 6: Final answer
    x = 389.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.