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Finding the Fourth Proportional to 638.08, 956.23 and 290.56

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Solution

The fourth proportional to 638.08, 956.23 and 290.56 is: 435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.08 : 956.23 = 290.56 : x
  2. Step 2: Convert to fraction form
    638.08/956.23 = 290.56/x
  3. Step 3: Cross multiply
    638.08x = 956.23 × 290.56
  4. Step 4: Simplify right side
    638.08x = 277,844.37
  5. Step 5: Solve for x
    x = 277,844.37/638.08
  6. Step 6: Final answer
    x = 435.44

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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.