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Finding the Fourth Proportional to 375.73, 565.75 and 273.72

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Solution

The fourth proportional to 375.73, 565.75 and 273.72 is: 412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.73 : 565.75 = 273.72 : x
  2. Step 2: Convert to fraction form
    375.73/565.75 = 273.72/x
  3. Step 3: Cross multiply
    375.73x = 565.75 × 273.72
  4. Step 4: Simplify right side
    375.73x = 154,856.41
  5. Step 5: Solve for x
    x = 154,856.41/375.73
  6. Step 6: Final answer
    x = 412.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.