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Finding the Fourth Proportional to 234.84, 351.04 and 180.16

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Solution

The fourth proportional to 234.84, 351.04 and 180.16 is: 269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 351.04 = 180.16 : x
  2. Step 2: Convert to fraction form
    234.84/351.04 = 180.16/x
  3. Step 3: Cross multiply
    234.84x = 351.04 × 180.16
  4. Step 4: Simplify right side
    234.84x = 63,243.37
  5. Step 5: Solve for x
    x = 63,243.37/234.84
  6. Step 6: Final answer
    x = 269.30

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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.