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Finding the Fourth Proportional to 316.32, 470.96 and 314.70

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Solution

The fourth proportional to 316.32, 470.96 and 314.70 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.32 : 470.96 = 314.70 : x
  2. Step 2: Convert to fraction form
    316.32/470.96 = 314.70/x
  3. Step 3: Cross multiply
    316.32x = 470.96 × 314.70
  4. Step 4: Simplify right side
    316.32x = 148,209.54
  5. Step 5: Solve for x
    x = 148,209.54/316.32
  6. Step 6: Final answer
    x = 468.54

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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.