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Finding the Fourth Proportional to 431.90, 596.58 and 301.49

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Solution

The fourth proportional to 431.90, 596.58 and 301.49 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 596.58 = 301.49 : x
  2. Step 2: Convert to fraction form
    431.90/596.58 = 301.49/x
  3. Step 3: Cross multiply
    431.90x = 596.58 × 301.49
  4. Step 4: Simplify right side
    431.90x = 179,863.27
  5. Step 5: Solve for x
    x = 179,863.27/431.90
  6. Step 6: Final answer
    x = 416.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.