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Finding the Fourth Proportional to 234.54, 349.72 and 228.16

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Solution

The fourth proportional to 234.54, 349.72 and 228.16 is: 340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 349.72 = 228.16 : x
  2. Step 2: Convert to fraction form
    234.54/349.72 = 228.16/x
  3. Step 3: Cross multiply
    234.54x = 349.72 × 228.16
  4. Step 4: Simplify right side
    234.54x = 79,792.12
  5. Step 5: Solve for x
    x = 79,792.12/234.54
  6. Step 6: Final answer
    x = 340.21

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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.