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Finding the Fourth Proportional to 275.09, 412.65 and 101.75

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Solution

The fourth proportional to 275.09, 412.65 and 101.75 is: 152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 412.65 = 101.75 : x
  2. Step 2: Convert to fraction form
    275.09/412.65 = 101.75/x
  3. Step 3: Cross multiply
    275.09x = 412.65 × 101.75
  4. Step 4: Simplify right side
    275.09x = 41,987.14
  5. Step 5: Solve for x
    x = 41,987.14/275.09
  6. Step 6: Final answer
    x = 152.63

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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.