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Finding the Fourth Proportional to 314.46, 471.15 and 273.42

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Solution

The fourth proportional to 314.46, 471.15 and 273.42 is: 409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 471.15 = 273.42 : x
  2. Step 2: Convert to fraction form
    314.46/471.15 = 273.42/x
  3. Step 3: Cross multiply
    314.46x = 471.15 × 273.42
  4. Step 4: Simplify right side
    314.46x = 128,821.83
  5. Step 5: Solve for x
    x = 128,821.83/314.46
  6. Step 6: Final answer
    x = 409.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.