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Finding the Fourth Proportional to 485.24, 669.60 and 264.19

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Solution

The fourth proportional to 485.24, 669.60 and 264.19 is: 364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.24 : 669.60 = 264.19 : x
  2. Step 2: Convert to fraction form
    485.24/669.60 = 264.19/x
  3. Step 3: Cross multiply
    485.24x = 669.60 × 264.19
  4. Step 4: Simplify right side
    485.24x = 176,896.96
  5. Step 5: Solve for x
    x = 176,896.96/485.24
  6. Step 6: Final answer
    x = 364.56

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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.