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Finding the Fourth Proportional to 484.70, 668.96 and 288.24

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Solution

The fourth proportional to 484.70, 668.96 and 288.24 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.70 : 668.96 = 288.24 : x
  2. Step 2: Convert to fraction form
    484.70/668.96 = 288.24/x
  3. Step 3: Cross multiply
    484.70x = 668.96 × 288.24
  4. Step 4: Simplify right side
    484.70x = 192,821.03
  5. Step 5: Solve for x
    x = 192,821.03/484.70
  6. Step 6: Final answer
    x = 397.82

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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.