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Finding the Fourth Proportional to 485.20, 669.57 and 264.14

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Solution

The fourth proportional to 485.20, 669.57 and 264.14 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.20 : 669.57 = 264.14 : x
  2. Step 2: Convert to fraction form
    485.20/669.57 = 264.14/x
  3. Step 3: Cross multiply
    485.20x = 669.57 × 264.14
  4. Step 4: Simplify right side
    485.20x = 176,855.55
  5. Step 5: Solve for x
    x = 176,855.55/485.20
  6. Step 6: Final answer
    x = 364.50

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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.