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Finding the Fourth Proportional to 316.22, 473.65 and 294.85

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Solution

The fourth proportional to 316.22, 473.65 and 294.85 is: 441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.22 : 473.65 = 294.85 : x
  2. Step 2: Convert to fraction form
    316.22/473.65 = 294.85/x
  3. Step 3: Cross multiply
    316.22x = 473.65 × 294.85
  4. Step 4: Simplify right side
    316.22x = 139,655.56
  5. Step 5: Solve for x
    x = 139,655.56/316.22
  6. Step 6: Final answer
    x = 441.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.