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Finding the Fourth Proportional to 313.72, 469.14 and 255.40

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Solution

The fourth proportional to 313.72, 469.14 and 255.40 is: 381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 469.14 = 255.40 : x
  2. Step 2: Convert to fraction form
    313.72/469.14 = 255.40/x
  3. Step 3: Cross multiply
    313.72x = 469.14 × 255.40
  4. Step 4: Simplify right side
    313.72x = 119,818.36
  5. Step 5: Solve for x
    x = 119,818.36/313.72
  6. Step 6: Final answer
    x = 381.93

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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.