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Finding the Fourth Proportional to 318.08, 438.62 and 255.72

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Solution

The fourth proportional to 318.08, 438.62 and 255.72 is: 352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.08 : 438.62 = 255.72 : x
  2. Step 2: Convert to fraction form
    318.08/438.62 = 255.72/x
  3. Step 3: Cross multiply
    318.08x = 438.62 × 255.72
  4. Step 4: Simplify right side
    318.08x = 112,162.63
  5. Step 5: Solve for x
    x = 112,162.63/318.08
  6. Step 6: Final answer
    x = 352.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.