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Finding the Fourth Proportional to 318.68, 437.40 and 305.32

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Solution

The fourth proportional to 318.68, 437.40 and 305.32 is: 419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.68 : 437.40 = 305.32 : x
  2. Step 2: Convert to fraction form
    318.68/437.40 = 305.32/x
  3. Step 3: Cross multiply
    318.68x = 437.40 × 305.32
  4. Step 4: Simplify right side
    318.68x = 133,546.97
  5. Step 5: Solve for x
    x = 133,546.97/318.68
  6. Step 6: Final answer
    x = 419.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.