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Finding the Fourth Proportional to 315.75, 471.57 and 281.41

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Solution

The fourth proportional to 315.75, 471.57 and 281.41 is: 420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.75 : 471.57 = 281.41 : x
  2. Step 2: Convert to fraction form
    315.75/471.57 = 281.41/x
  3. Step 3: Cross multiply
    315.75x = 471.57 × 281.41
  4. Step 4: Simplify right side
    315.75x = 132,702.87
  5. Step 5: Solve for x
    x = 132,702.87/315.75
  6. Step 6: Final answer
    x = 420.28

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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.