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Finding the Fourth Proportional to 303.76, 419.18 and 165.76

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Solution

The fourth proportional to 303.76, 419.18 and 165.76 is: 228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.76 : 419.18 = 165.76 : x
  2. Step 2: Convert to fraction form
    303.76/419.18 = 165.76/x
  3. Step 3: Cross multiply
    303.76x = 419.18 × 165.76
  4. Step 4: Simplify right side
    303.76x = 69,483.28
  5. Step 5: Solve for x
    x = 69,483.28/303.76
  6. Step 6: Final answer
    x = 228.74

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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.