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Finding the Fourth Proportional to 485.02, 669.31 and 263.97

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Solution

The fourth proportional to 485.02, 669.31 and 263.97 is: 364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.02 : 669.31 = 263.97 : x
  2. Step 2: Convert to fraction form
    485.02/669.31 = 263.97/x
  3. Step 3: Cross multiply
    485.02x = 669.31 × 263.97
  4. Step 4: Simplify right side
    485.02x = 176,674.41
  5. Step 5: Solve for x
    x = 176,674.41/485.02
  6. Step 6: Final answer
    x = 364.26

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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.