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Finding the Fourth Proportional to 445.76, 669.64 and 272.88

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Solution

The fourth proportional to 445.76, 669.64 and 272.88 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 669.64 = 272.88 : x
  2. Step 2: Convert to fraction form
    445.76/669.64 = 272.88/x
  3. Step 3: Cross multiply
    445.76x = 669.64 × 272.88
  4. Step 4: Simplify right side
    445.76x = 182,731.36
  5. Step 5: Solve for x
    x = 182,731.36/445.76
  6. Step 6: Final answer
    x = 409.93

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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.