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Finding the Fourth Proportional to 316.92, 437.39 and 264.39

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Solution

The fourth proportional to 316.92, 437.39 and 264.39 is: 364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.92 : 437.39 = 264.39 : x
  2. Step 2: Convert to fraction form
    316.92/437.39 = 264.39/x
  3. Step 3: Cross multiply
    316.92x = 437.39 × 264.39
  4. Step 4: Simplify right side
    316.92x = 115,640.22
  5. Step 5: Solve for x
    x = 115,640.22/316.92
  6. Step 6: Final answer
    x = 364.89

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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.