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Finding the Fourth Proportional to 467.11, 644.71 and 309.75

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Solution

The fourth proportional to 467.11, 644.71 and 309.75 is: 427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.11 : 644.71 = 309.75 : x
  2. Step 2: Convert to fraction form
    467.11/644.71 = 309.75/x
  3. Step 3: Cross multiply
    467.11x = 644.71 × 309.75
  4. Step 4: Simplify right side
    467.11x = 199,701.73
  5. Step 5: Solve for x
    x = 199,701.73/467.11
  6. Step 6: Final answer
    x = 427.52

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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.