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Finding the Fourth Proportional to 275.17, 379.73 and 150.83

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Solution

The fourth proportional to 275.17, 379.73 and 150.83 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.17 : 379.73 = 150.83 : x
  2. Step 2: Convert to fraction form
    275.17/379.73 = 150.83/x
  3. Step 3: Cross multiply
    275.17x = 379.73 × 150.83
  4. Step 4: Simplify right side
    275.17x = 57,272.40
  5. Step 5: Solve for x
    x = 57,272.40/275.17
  6. Step 6: Final answer
    x = 208.14

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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.