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Finding the Fourth Proportional to 312.98, 471.74 and 295.34

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Solution

The fourth proportional to 312.98, 471.74 and 295.34 is: 445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.98 : 471.74 = 295.34 : x
  2. Step 2: Convert to fraction form
    312.98/471.74 = 295.34/x
  3. Step 3: Cross multiply
    312.98x = 471.74 × 295.34
  4. Step 4: Simplify right side
    312.98x = 139,323.69
  5. Step 5: Solve for x
    x = 139,323.69/312.98
  6. Step 6: Final answer
    x = 445.15

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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.