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Finding the Fourth Proportional to 446.77, 669.82 and 172.78

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Solution

The fourth proportional to 446.77, 669.82 and 172.78 is: 259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.77 : 669.82 = 172.78 : x
  2. Step 2: Convert to fraction form
    446.77/669.82 = 172.78/x
  3. Step 3: Cross multiply
    446.77x = 669.82 × 172.78
  4. Step 4: Simplify right side
    446.77x = 115,731.50
  5. Step 5: Solve for x
    x = 115,731.50/446.77
  6. Step 6: Final answer
    x = 259.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.