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Finding the Fourth Proportional to 309.31, 463.75 and 201.04

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Solution

The fourth proportional to 309.31, 463.75 and 201.04 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.31 : 463.75 = 201.04 : x
  2. Step 2: Convert to fraction form
    309.31/463.75 = 201.04/x
  3. Step 3: Cross multiply
    309.31x = 463.75 × 201.04
  4. Step 4: Simplify right side
    309.31x = 93,232.30
  5. Step 5: Solve for x
    x = 93,232.30/309.31
  6. Step 6: Final answer
    x = 301.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.