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Finding the Fourth Proportional to 485.20, 669.20 and 354.24

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Solution

The fourth proportional to 485.20, 669.20 and 354.24 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.20 : 669.20 = 354.24 : x
  2. Step 2: Convert to fraction form
    485.20/669.20 = 354.24/x
  3. Step 3: Cross multiply
    485.20x = 669.20 × 354.24
  4. Step 4: Simplify right side
    485.20x = 237,057.41
  5. Step 5: Solve for x
    x = 237,057.41/485.20
  6. Step 6: Final answer
    x = 488.58

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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.