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Finding the Fourth Proportional to 294.69, 406.77 and 178.25

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Solution

The fourth proportional to 294.69, 406.77 and 178.25 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.69 : 406.77 = 178.25 : x
  2. Step 2: Convert to fraction form
    294.69/406.77 = 178.25/x
  3. Step 3: Cross multiply
    294.69x = 406.77 × 178.25
  4. Step 4: Simplify right side
    294.69x = 72,506.75
  5. Step 5: Solve for x
    x = 72,506.75/294.69
  6. Step 6: Final answer
    x = 246.04

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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.