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Finding the Fourth Proportional to 484.80, 669.01 and 263.76

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Solution

The fourth proportional to 484.80, 669.01 and 263.76 is: 363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.80 : 669.01 = 263.76 : x
  2. Step 2: Convert to fraction form
    484.80/669.01 = 263.76/x
  3. Step 3: Cross multiply
    484.80x = 669.01 × 263.76
  4. Step 4: Simplify right side
    484.80x = 176,458.08
  5. Step 5: Solve for x
    x = 176,458.08/484.80
  6. Step 6: Final answer
    x = 363.98

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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.