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Finding the Fourth Proportional to 678.56, 936.42 and 368.06

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Solution

The fourth proportional to 678.56, 936.42 and 368.06 is: 507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.56 : 936.42 = 368.06 : x
  2. Step 2: Convert to fraction form
    678.56/936.42 = 368.06/x
  3. Step 3: Cross multiply
    678.56x = 936.42 × 368.06
  4. Step 4: Simplify right side
    678.56x = 344,661.09
  5. Step 5: Solve for x
    x = 344,661.09/678.56
  6. Step 6: Final answer
    x = 507.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.