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Finding the Fourth Proportional to 272.49, 376.02 and 148.15

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Solution

The fourth proportional to 272.49, 376.02 and 148.15 is: 204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.49 : 376.02 = 148.15 : x
  2. Step 2: Convert to fraction form
    272.49/376.02 = 148.15/x
  3. Step 3: Cross multiply
    272.49x = 376.02 × 148.15
  4. Step 4: Simplify right side
    272.49x = 55,705.48
  5. Step 5: Solve for x
    x = 55,705.48/272.49
  6. Step 6: Final answer
    x = 204.43

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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.