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Finding the Fourth Proportional to 431.16, 592.44 and 381.96

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Solution

The fourth proportional to 431.16, 592.44 and 381.96 is: 524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 592.44 = 381.96 : x
  2. Step 2: Convert to fraction form
    431.16/592.44 = 381.96/x
  3. Step 3: Cross multiply
    431.16x = 592.44 × 381.96
  4. Step 4: Simplify right side
    431.16x = 226,288.38
  5. Step 5: Solve for x
    x = 226,288.38/431.16
  6. Step 6: Final answer
    x = 524.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.