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Finding the Fourth Proportional to 313.93, 471.48 and 278.65

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Solution

The fourth proportional to 313.93, 471.48 and 278.65 is: 418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.93 : 471.48 = 278.65 : x
  2. Step 2: Convert to fraction form
    313.93/471.48 = 278.65/x
  3. Step 3: Cross multiply
    313.93x = 471.48 × 278.65
  4. Step 4: Simplify right side
    313.93x = 131,377.90
  5. Step 5: Solve for x
    x = 131,377.90/313.93
  6. Step 6: Final answer
    x = 418.49

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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.