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Finding the Fourth Proportional to 428.92, 592.18 and 318.26

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Solution

The fourth proportional to 428.92, 592.18 and 318.26 is: 439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.92 : 592.18 = 318.26 : x
  2. Step 2: Convert to fraction form
    428.92/592.18 = 318.26/x
  3. Step 3: Cross multiply
    428.92x = 592.18 × 318.26
  4. Step 4: Simplify right side
    428.92x = 188,467.89
  5. Step 5: Solve for x
    x = 188,467.89/428.92
  6. Step 6: Final answer
    x = 439.40

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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.