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Finding the Fourth Proportional to 228.72, 345.07 and 217.34

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Solution

The fourth proportional to 228.72, 345.07 and 217.34 is: 327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.72 : 345.07 = 217.34 : x
  2. Step 2: Convert to fraction form
    228.72/345.07 = 217.34/x
  3. Step 3: Cross multiply
    228.72x = 345.07 × 217.34
  4. Step 4: Simplify right side
    228.72x = 74,997.51
  5. Step 5: Solve for x
    x = 74,997.51/228.72
  6. Step 6: Final answer
    x = 327.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.