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Finding the Fourth Proportional to 313.74, 469.40 and 255.42

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Solution

The fourth proportional to 313.74, 469.40 and 255.42 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 469.40 = 255.42 : x
  2. Step 2: Convert to fraction form
    313.74/469.40 = 255.42/x
  3. Step 3: Cross multiply
    313.74x = 469.40 × 255.42
  4. Step 4: Simplify right side
    313.74x = 119,892.87
  5. Step 5: Solve for x
    x = 119,892.87/313.74
  6. Step 6: Final answer
    x = 382.14

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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.