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Finding the Fourth Proportional to 309.14, 463.07 and 164.50

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Solution

The fourth proportional to 309.14, 463.07 and 164.50 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 463.07 = 164.50 : x
  2. Step 2: Convert to fraction form
    309.14/463.07 = 164.50/x
  3. Step 3: Cross multiply
    309.14x = 463.07 × 164.50
  4. Step 4: Simplify right side
    309.14x = 76,175.02
  5. Step 5: Solve for x
    x = 76,175.02/309.14
  6. Step 6: Final answer
    x = 246.41

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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.