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Finding the Fourth Proportional to 264.29, 364.37 and 216.85

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Solution

The fourth proportional to 264.29, 364.37 and 216.85 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.29 : 364.37 = 216.85 : x
  2. Step 2: Convert to fraction form
    264.29/364.37 = 216.85/x
  3. Step 3: Cross multiply
    264.29x = 364.37 × 216.85
  4. Step 4: Simplify right side
    264.29x = 79,012.16
  5. Step 5: Solve for x
    x = 79,012.16/264.29
  6. Step 6: Final answer
    x = 298.96

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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.