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Finding the Fourth Proportional to 272.04, 375.41 and 147.70

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Solution

The fourth proportional to 272.04, 375.41 and 147.70 is: 203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.04 : 375.41 = 147.70 : x
  2. Step 2: Convert to fraction form
    272.04/375.41 = 147.70/x
  3. Step 3: Cross multiply
    272.04x = 375.41 × 147.70
  4. Step 4: Simplify right side
    272.04x = 55,447.49
  5. Step 5: Solve for x
    x = 55,447.49/272.04
  6. Step 6: Final answer
    x = 203.82

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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.