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Finding the Fourth Proportional to 470.42, 649.17 and 273.93

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Solution

The fourth proportional to 470.42, 649.17 and 273.93 is: 378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.42 : 649.17 = 273.93 : x
  2. Step 2: Convert to fraction form
    470.42/649.17 = 273.93/x
  3. Step 3: Cross multiply
    470.42x = 649.17 × 273.93
  4. Step 4: Simplify right side
    470.42x = 177,827.14
  5. Step 5: Solve for x
    x = 177,827.14/470.42
  6. Step 6: Final answer
    x = 378.02

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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.