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Finding the Fourth Proportional to 315.92, 470.33 and 314.39

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Solution

The fourth proportional to 315.92, 470.33 and 314.39 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.92 : 470.33 = 314.39 : x
  2. Step 2: Convert to fraction form
    315.92/470.33 = 314.39/x
  3. Step 3: Cross multiply
    315.92x = 470.33 × 314.39
  4. Step 4: Simplify right side
    315.92x = 147,863.13
  5. Step 5: Solve for x
    x = 147,863.13/315.92
  6. Step 6: Final answer
    x = 468.05

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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.