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Finding the Fourth Proportional to 275.38, 380.04 and 151.05

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Solution

The fourth proportional to 275.38, 380.04 and 151.05 is: 208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.38 : 380.04 = 151.05 : x
  2. Step 2: Convert to fraction form
    275.38/380.04 = 151.05/x
  3. Step 3: Cross multiply
    275.38x = 380.04 × 151.05
  4. Step 4: Simplify right side
    275.38x = 57,404.61
  5. Step 5: Solve for x
    x = 57,404.61/275.38
  6. Step 6: Final answer
    x = 208.45

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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.