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Finding the Fourth Proportional to 316.48, 471.56 and 298.86

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Solution

The fourth proportional to 316.48, 471.56 and 298.86 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.48 : 471.56 = 298.86 : x
  2. Step 2: Convert to fraction form
    316.48/471.56 = 298.86/x
  3. Step 3: Cross multiply
    316.48x = 471.56 × 298.86
  4. Step 4: Simplify right side
    316.48x = 140,930.42
  5. Step 5: Solve for x
    x = 140,930.42/316.48
  6. Step 6: Final answer
    x = 445.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.