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Finding the Fourth Proportional to 315.56, 472.31 and 271.82

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Solution

The fourth proportional to 315.56, 472.31 and 271.82 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.56 : 472.31 = 271.82 : x
  2. Step 2: Convert to fraction form
    315.56/472.31 = 271.82/x
  3. Step 3: Cross multiply
    315.56x = 472.31 × 271.82
  4. Step 4: Simplify right side
    315.56x = 128,381.49
  5. Step 5: Solve for x
    x = 128,381.49/315.56
  6. Step 6: Final answer
    x = 406.84

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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.