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Finding the Fourth Proportional to 228.63, 341.52 and 177.15

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Solution

The fourth proportional to 228.63, 341.52 and 177.15 is: 264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.63 : 341.52 = 177.15 : x
  2. Step 2: Convert to fraction form
    228.63/341.52 = 177.15/x
  3. Step 3: Cross multiply
    228.63x = 341.52 × 177.15
  4. Step 4: Simplify right side
    228.63x = 60,500.27
  5. Step 5: Solve for x
    x = 60,500.27/228.63
  6. Step 6: Final answer
    x = 264.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.