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Finding the Fourth Proportional to 312.58, 469.26 and 240.94

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Solution

The fourth proportional to 312.58, 469.26 and 240.94 is: 361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 469.26 = 240.94 : x
  2. Step 2: Convert to fraction form
    312.58/469.26 = 240.94/x
  3. Step 3: Cross multiply
    312.58x = 469.26 × 240.94
  4. Step 4: Simplify right side
    312.58x = 113,063.50
  5. Step 5: Solve for x
    x = 113,063.50/312.58
  6. Step 6: Final answer
    x = 361.71

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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.