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Finding the Fourth Proportional to 336, 463.74 and 219.81

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Solution

The fourth proportional to 336, 463.74 and 219.81 is: 303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 463.74 = 219.81 : x
  2. Step 2: Convert to fraction form
    336/463.74 = 219.81/x
  3. Step 3: Cross multiply
    336x = 463.74 × 219.81
  4. Step 4: Simplify right side
    336x = 101,934.69
  5. Step 5: Solve for x
    x = 101,934.69/336
  6. Step 6: Final answer
    x = 303.38

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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.