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Finding the Fourth Proportional to 264.96, 399.96 and 262.08

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Solution

The fourth proportional to 264.96, 399.96 and 262.08 is: 395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 399.96 = 262.08 : x
  2. Step 2: Convert to fraction form
    264.96/399.96 = 262.08/x
  3. Step 3: Cross multiply
    264.96x = 399.96 × 262.08
  4. Step 4: Simplify right side
    264.96x = 104,821.52
  5. Step 5: Solve for x
    x = 104,821.52/264.96
  6. Step 6: Final answer
    x = 395.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.