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Finding the Fourth Proportional to 312.45, 471.32 and 295.85

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Solution

The fourth proportional to 312.45, 471.32 and 295.85 is: 446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 471.32 = 295.85 : x
  2. Step 2: Convert to fraction form
    312.45/471.32 = 295.85/x
  3. Step 3: Cross multiply
    312.45x = 471.32 × 295.85
  4. Step 4: Simplify right side
    312.45x = 139,436.19
  5. Step 5: Solve for x
    x = 139,436.19/312.45
  6. Step 6: Final answer
    x = 446.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.