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Finding the Fourth Proportional to 264.85, 395.52 and 261.99

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Solution

The fourth proportional to 264.85, 395.52 and 261.99 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.85 : 395.52 = 261.99 : x
  2. Step 2: Convert to fraction form
    264.85/395.52 = 261.99/x
  3. Step 3: Cross multiply
    264.85x = 395.52 × 261.99
  4. Step 4: Simplify right side
    264.85x = 103,622.28
  5. Step 5: Solve for x
    x = 103,622.28/264.85
  6. Step 6: Final answer
    x = 391.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.