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Finding the Fourth Proportional to 318.23, 437.70 and 255.92

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Solution

The fourth proportional to 318.23, 437.70 and 255.92 is: 352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.23 : 437.70 = 255.92 : x
  2. Step 2: Convert to fraction form
    318.23/437.70 = 255.92/x
  3. Step 3: Cross multiply
    318.23x = 437.70 × 255.92
  4. Step 4: Simplify right side
    318.23x = 112,016.32
  5. Step 5: Solve for x
    x = 112,016.32/318.23
  6. Step 6: Final answer
    x = 352.00

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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.