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Finding the Fourth Proportional to 270.99, 373.97 and 160.56

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Solution

The fourth proportional to 270.99, 373.97 and 160.56 is: 221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.99 : 373.97 = 160.56 : x
  2. Step 2: Convert to fraction form
    270.99/373.97 = 160.56/x
  3. Step 3: Cross multiply
    270.99x = 373.97 × 160.56
  4. Step 4: Simplify right side
    270.99x = 60,045.02
  5. Step 5: Solve for x
    x = 60,045.02/270.99
  6. Step 6: Final answer
    x = 221.58

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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.