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Finding the Fourth Proportional to 431.20, 594.56 and 300.32

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Solution

The fourth proportional to 431.20, 594.56 and 300.32 is: 414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.20 : 594.56 = 300.32 : x
  2. Step 2: Convert to fraction form
    431.20/594.56 = 300.32/x
  3. Step 3: Cross multiply
    431.20x = 594.56 × 300.32
  4. Step 4: Simplify right side
    431.20x = 178,558.26
  5. Step 5: Solve for x
    x = 178,558.26/431.20
  6. Step 6: Final answer
    x = 414.10

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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.