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Finding the Fourth Proportional to 314.94, 429.09 and 308.28

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Solution

The fourth proportional to 314.94, 429.09 and 308.28 is: 420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 429.09 = 308.28 : x
  2. Step 2: Convert to fraction form
    314.94/429.09 = 308.28/x
  3. Step 3: Cross multiply
    314.94x = 429.09 × 308.28
  4. Step 4: Simplify right side
    314.94x = 132,279.87
  5. Step 5: Solve for x
    x = 132,279.87/314.94
  6. Step 6: Final answer
    x = 420.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.