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Finding the Fourth Proportional to 270.65, 373.31 and 160.05

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Solution

The fourth proportional to 270.65, 373.31 and 160.05 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.65 : 373.31 = 160.05 : x
  2. Step 2: Convert to fraction form
    270.65/373.31 = 160.05/x
  3. Step 3: Cross multiply
    270.65x = 373.31 × 160.05
  4. Step 4: Simplify right side
    270.65x = 59,749.47
  5. Step 5: Solve for x
    x = 59,749.47/270.65
  6. Step 6: Final answer
    x = 220.76

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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.