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Finding the Fourth Proportional to 314.46, 469.85 and 255.94

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Solution

The fourth proportional to 314.46, 469.85 and 255.94 is: 382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 469.85 = 255.94 : x
  2. Step 2: Convert to fraction form
    314.46/469.85 = 255.94/x
  3. Step 3: Cross multiply
    314.46x = 469.85 × 255.94
  4. Step 4: Simplify right side
    314.46x = 120,253.41
  5. Step 5: Solve for x
    x = 120,253.41/314.46
  6. Step 6: Final answer
    x = 382.41

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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.