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Finding the Fourth Proportional to 315.72, 471.14 and 279.27

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Solution

The fourth proportional to 315.72, 471.14 and 279.27 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 471.14 = 279.27 : x
  2. Step 2: Convert to fraction form
    315.72/471.14 = 279.27/x
  3. Step 3: Cross multiply
    315.72x = 471.14 × 279.27
  4. Step 4: Simplify right side
    315.72x = 131,573.87
  5. Step 5: Solve for x
    x = 131,573.87/315.72
  6. Step 6: Final answer
    x = 416.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.