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Finding the Fourth Proportional to 484.31, 668.18 and 307.23

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Solution

The fourth proportional to 484.31, 668.18 and 307.23 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.31 : 668.18 = 307.23 : x
  2. Step 2: Convert to fraction form
    484.31/668.18 = 307.23/x
  3. Step 3: Cross multiply
    484.31x = 668.18 × 307.23
  4. Step 4: Simplify right side
    484.31x = 205,283.20
  5. Step 5: Solve for x
    x = 205,283.20/484.31
  6. Step 6: Final answer
    x = 423.87

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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.