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Finding the Fourth Proportional to 270.81, 373.77 and 160.38

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Solution

The fourth proportional to 270.81, 373.77 and 160.38 is: 221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.81 : 373.77 = 160.38 : x
  2. Step 2: Convert to fraction form
    270.81/373.77 = 160.38/x
  3. Step 3: Cross multiply
    270.81x = 373.77 × 160.38
  4. Step 4: Simplify right side
    270.81x = 59,945.23
  5. Step 5: Solve for x
    x = 59,945.23/270.81
  6. Step 6: Final answer
    x = 221.36

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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.