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Finding the Fourth Proportional to 445.76, 669.12 and 354.56

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Solution

The fourth proportional to 445.76, 669.12 and 354.56 is: 532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 669.12 = 354.56 : x
  2. Step 2: Convert to fraction form
    445.76/669.12 = 354.56/x
  3. Step 3: Cross multiply
    445.76x = 669.12 × 354.56
  4. Step 4: Simplify right side
    445.76x = 237,243.19
  5. Step 5: Solve for x
    x = 237,243.19/445.76
  6. Step 6: Final answer
    x = 532.22

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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.