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Finding the Fourth Proportional to 228.28, 341.96 and 174.02

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Solution

The fourth proportional to 228.28, 341.96 and 174.02 is: 260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.28 : 341.96 = 174.02 : x
  2. Step 2: Convert to fraction form
    228.28/341.96 = 174.02/x
  3. Step 3: Cross multiply
    228.28x = 341.96 × 174.02
  4. Step 4: Simplify right side
    228.28x = 59,507.88
  5. Step 5: Solve for x
    x = 59,507.88/228.28
  6. Step 6: Final answer
    x = 260.68

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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.