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Finding the Fourth Proportional to 279.72, 419.61 and 228.81

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Solution

The fourth proportional to 279.72, 419.61 and 228.81 is: 343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.72 : 419.61 = 228.81 : x
  2. Step 2: Convert to fraction form
    279.72/419.61 = 228.81/x
  3. Step 3: Cross multiply
    279.72x = 419.61 × 228.81
  4. Step 4: Simplify right side
    279.72x = 96,010.96
  5. Step 5: Solve for x
    x = 96,010.96/279.72
  6. Step 6: Final answer
    x = 343.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.