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Finding the Fourth Proportional to 316, 436.17 and 279.28

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Solution

The fourth proportional to 316, 436.17 and 279.28 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316 : 436.17 = 279.28 : x
  2. Step 2: Convert to fraction form
    316/436.17 = 279.28/x
  3. Step 3: Cross multiply
    316x = 436.17 × 279.28
  4. Step 4: Simplify right side
    316x = 121,813.56
  5. Step 5: Solve for x
    x = 121,813.56/316
  6. Step 6: Final answer
    x = 385.49

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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.