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Finding the Fourth Proportional to 264.71, 364.82 and 217.78

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Solution

The fourth proportional to 264.71, 364.82 and 217.78 is: 300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.71 : 364.82 = 217.78 : x
  2. Step 2: Convert to fraction form
    264.71/364.82 = 217.78/x
  3. Step 3: Cross multiply
    264.71x = 364.82 × 217.78
  4. Step 4: Simplify right side
    264.71x = 79,450.50
  5. Step 5: Solve for x
    x = 79,450.50/264.71
  6. Step 6: Final answer
    x = 300.14

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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.