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Finding the Fourth Proportional to 272.06, 407.90 and 107.50

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Solution

The fourth proportional to 272.06, 407.90 and 107.50 is: 161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.06 : 407.90 = 107.50 : x
  2. Step 2: Convert to fraction form
    272.06/407.90 = 107.50/x
  3. Step 3: Cross multiply
    272.06x = 407.90 × 107.50
  4. Step 4: Simplify right side
    272.06x = 43,849.25
  5. Step 5: Solve for x
    x = 43,849.25/272.06
  6. Step 6: Final answer
    x = 161.17

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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.