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Finding the Fourth Proportional to 264.36, 396.51 and 81.74

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Solution

The fourth proportional to 264.36, 396.51 and 81.74 is: 122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.36 : 396.51 = 81.74 : x
  2. Step 2: Convert to fraction form
    264.36/396.51 = 81.74/x
  3. Step 3: Cross multiply
    264.36x = 396.51 × 81.74
  4. Step 4: Simplify right side
    264.36x = 32,411.87
  5. Step 5: Solve for x
    x = 32,411.87/264.36
  6. Step 6: Final answer
    x = 122.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.