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Finding the Fourth Proportional to 314.62, 431.62 and 306.09

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Solution

The fourth proportional to 314.62, 431.62 and 306.09 is: 419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.62 : 431.62 = 306.09 : x
  2. Step 2: Convert to fraction form
    314.62/431.62 = 306.09/x
  3. Step 3: Cross multiply
    314.62x = 431.62 × 306.09
  4. Step 4: Simplify right side
    314.62x = 132,114.57
  5. Step 5: Solve for x
    x = 132,114.57/314.62
  6. Step 6: Final answer
    x = 419.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.