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Finding the Fourth Proportional to 309.64, 463.36 and 212.25

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Solution

The fourth proportional to 309.64, 463.36 and 212.25 is: 317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 463.36 = 212.25 : x
  2. Step 2: Convert to fraction form
    309.64/463.36 = 212.25/x
  3. Step 3: Cross multiply
    309.64x = 463.36 × 212.25
  4. Step 4: Simplify right side
    309.64x = 98,350.36
  5. Step 5: Solve for x
    x = 98,350.36/309.64
  6. Step 6: Final answer
    x = 317.63

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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.