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Finding the Fourth Proportional to 429.70, 641.95 and 274.31

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Solution

The fourth proportional to 429.70, 641.95 and 274.31 is: 409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.70 : 641.95 = 274.31 : x
  2. Step 2: Convert to fraction form
    429.70/641.95 = 274.31/x
  3. Step 3: Cross multiply
    429.70x = 641.95 × 274.31
  4. Step 4: Simplify right side
    429.70x = 176,093.30
  5. Step 5: Solve for x
    x = 176,093.30/429.70
  6. Step 6: Final answer
    x = 409.81

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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.