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Finding the Fourth Proportional to 303.29, 417.81 and 209.87

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Solution

The fourth proportional to 303.29, 417.81 and 209.87 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.29 : 417.81 = 209.87 : x
  2. Step 2: Convert to fraction form
    303.29/417.81 = 209.87/x
  3. Step 3: Cross multiply
    303.29x = 417.81 × 209.87
  4. Step 4: Simplify right side
    303.29x = 87,686.34
  5. Step 5: Solve for x
    x = 87,686.34/303.29
  6. Step 6: Final answer
    x = 289.11

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