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Finding the Fourth Proportional to 315.62, 471.33 and 312.23

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Solution

The fourth proportional to 315.62, 471.33 and 312.23 is: 466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.62 : 471.33 = 312.23 : x
  2. Step 2: Convert to fraction form
    315.62/471.33 = 312.23/x
  3. Step 3: Cross multiply
    315.62x = 471.33 × 312.23
  4. Step 4: Simplify right side
    315.62x = 147,163.37
  5. Step 5: Solve for x
    x = 147,163.37/315.62
  6. Step 6: Final answer
    x = 466.27

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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.