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Finding the Fourth Proportional to 431.84, 594.96 and 366.32

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Solution

The fourth proportional to 431.84, 594.96 and 366.32 is: 504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.84 : 594.96 = 366.32 : x
  2. Step 2: Convert to fraction form
    431.84/594.96 = 366.32/x
  3. Step 3: Cross multiply
    431.84x = 594.96 × 366.32
  4. Step 4: Simplify right side
    431.84x = 217,945.75
  5. Step 5: Solve for x
    x = 217,945.75/431.84
  6. Step 6: Final answer
    x = 504.69

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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.