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Finding the Fourth Proportional to 314.09, 470.96 and 232.91

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Solution

The fourth proportional to 314.09, 470.96 and 232.91 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.09 : 470.96 = 232.91 : x
  2. Step 2: Convert to fraction form
    314.09/470.96 = 232.91/x
  3. Step 3: Cross multiply
    314.09x = 470.96 × 232.91
  4. Step 4: Simplify right side
    314.09x = 109,690.13
  5. Step 5: Solve for x
    x = 109,690.13/314.09
  6. Step 6: Final answer
    x = 349.23

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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.