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Finding the Fourth Proportional to 264.47, 363.45 and 217.76

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Solution

The fourth proportional to 264.47, 363.45 and 217.76 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.47 : 363.45 = 217.76 : x
  2. Step 2: Convert to fraction form
    264.47/363.45 = 217.76/x
  3. Step 3: Cross multiply
    264.47x = 363.45 × 217.76
  4. Step 4: Simplify right side
    264.47x = 79,143.78
  5. Step 5: Solve for x
    x = 79,143.78/264.47
  6. Step 6: Final answer
    x = 299.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.