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Finding the Fourth Proportional to 316.31, 471.49 and 295.79

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Solution

The fourth proportional to 316.31, 471.49 and 295.79 is: 440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.31 : 471.49 = 295.79 : x
  2. Step 2: Convert to fraction form
    316.31/471.49 = 295.79/x
  3. Step 3: Cross multiply
    316.31x = 471.49 × 295.79
  4. Step 4: Simplify right side
    316.31x = 139,462.03
  5. Step 5: Solve for x
    x = 139,462.03/316.31
  6. Step 6: Final answer
    x = 440.90

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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.