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Finding the Fourth Proportional to 431.22, 594.09 and 312.96

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Solution

The fourth proportional to 431.22, 594.09 and 312.96 is: 431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.22 : 594.09 = 312.96 : x
  2. Step 2: Convert to fraction form
    431.22/594.09 = 312.96/x
  3. Step 3: Cross multiply
    431.22x = 594.09 × 312.96
  4. Step 4: Simplify right side
    431.22x = 185,926.41
  5. Step 5: Solve for x
    x = 185,926.41/431.22
  6. Step 6: Final answer
    x = 431.16

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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.