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Finding the Fourth Proportional to 315, 471.54 and 211.46

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Solution

The fourth proportional to 315, 471.54 and 211.46 is: 316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 471.54 = 211.46 : x
  2. Step 2: Convert to fraction form
    315/471.54 = 211.46/x
  3. Step 3: Cross multiply
    315x = 471.54 × 211.46
  4. Step 4: Simplify right side
    315x = 99,711.85
  5. Step 5: Solve for x
    x = 99,711.85/315
  6. Step 6: Final answer
    x = 316.55

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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.