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Finding the Fourth Proportional to 428.99, 592.17 and 289.18

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Solution

The fourth proportional to 428.99, 592.17 and 289.18 is: 399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 592.17 = 289.18 : x
  2. Step 2: Convert to fraction form
    428.99/592.17 = 289.18/x
  3. Step 3: Cross multiply
    428.99x = 592.17 × 289.18
  4. Step 4: Simplify right side
    428.99x = 171,243.72
  5. Step 5: Solve for x
    x = 171,243.72/428.99
  6. Step 6: Final answer
    x = 399.18

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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.