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Finding the Fourth Proportional to 272.75, 375.32 and 264.74

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Solution

The fourth proportional to 272.75, 375.32 and 264.74 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.75 : 375.32 = 264.74 : x
  2. Step 2: Convert to fraction form
    272.75/375.32 = 264.74/x
  3. Step 3: Cross multiply
    272.75x = 375.32 × 264.74
  4. Step 4: Simplify right side
    272.75x = 99,361.00
  5. Step 5: Solve for x
    x = 99,361.00/272.75
  6. Step 6: Final answer
    x = 364.30

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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.