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Finding the Fourth Proportional to 304.99, 420.89 and 165.11

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Solution

The fourth proportional to 304.99, 420.89 and 165.11 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.99 : 420.89 = 165.11 : x
  2. Step 2: Convert to fraction form
    304.99/420.89 = 165.11/x
  3. Step 3: Cross multiply
    304.99x = 420.89 × 165.11
  4. Step 4: Simplify right side
    304.99x = 69,493.81
  5. Step 5: Solve for x
    x = 69,493.81/304.99
  6. Step 6: Final answer
    x = 227.85

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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.