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Finding the Fourth Proportional to 303.81, 419.26 and 165.81

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Solution

The fourth proportional to 303.81, 419.26 and 165.81 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.81 : 419.26 = 165.81 : x
  2. Step 2: Convert to fraction form
    303.81/419.26 = 165.81/x
  3. Step 3: Cross multiply
    303.81x = 419.26 × 165.81
  4. Step 4: Simplify right side
    303.81x = 69,518.96
  5. Step 5: Solve for x
    x = 69,518.96/303.81
  6. Step 6: Final answer
    x = 228.82

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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.