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Finding the Fourth Proportional to 484.53, 668.80 and 309.87

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Solution

The fourth proportional to 484.53, 668.80 and 309.87 is: 427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.53 : 668.80 = 309.87 : x
  2. Step 2: Convert to fraction form
    484.53/668.80 = 309.87/x
  3. Step 3: Cross multiply
    484.53x = 668.80 × 309.87
  4. Step 4: Simplify right side
    484.53x = 207,243.50
  5. Step 5: Solve for x
    x = 207,243.50/484.53
  6. Step 6: Final answer
    x = 427.72

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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.