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Finding the Fourth Proportional to 316.69, 436.72 and 298.46

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Solution

The fourth proportional to 316.69, 436.72 and 298.46 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.69 : 436.72 = 298.46 : x
  2. Step 2: Convert to fraction form
    316.69/436.72 = 298.46/x
  3. Step 3: Cross multiply
    316.69x = 436.72 × 298.46
  4. Step 4: Simplify right side
    316.69x = 130,343.45
  5. Step 5: Solve for x
    x = 130,343.45/316.69
  6. Step 6: Final answer
    x = 411.58

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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.