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Finding the Fourth Proportional to 309.39, 464.36 and 201.30

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Solution

The fourth proportional to 309.39, 464.36 and 201.30 is: 302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.39 : 464.36 = 201.30 : x
  2. Step 2: Convert to fraction form
    309.39/464.36 = 201.30/x
  3. Step 3: Cross multiply
    309.39x = 464.36 × 201.30
  4. Step 4: Simplify right side
    309.39x = 93,474.66
  5. Step 5: Solve for x
    x = 93,474.66/309.39
  6. Step 6: Final answer
    x = 302.13

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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.