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Finding the Fourth Proportional to 316.17, 436.32 and 176.29

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Solution

The fourth proportional to 316.17, 436.32 and 176.29 is: 243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.17 : 436.32 = 176.29 : x
  2. Step 2: Convert to fraction form
    316.17/436.32 = 176.29/x
  3. Step 3: Cross multiply
    316.17x = 436.32 × 176.29
  4. Step 4: Simplify right side
    316.17x = 76,917.76
  5. Step 5: Solve for x
    x = 76,917.76/316.17
  6. Step 6: Final answer
    x = 243.28

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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.