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Finding the Fourth Proportional to 428.34, 591.48 and 288.92

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Solution

The fourth proportional to 428.34, 591.48 and 288.92 is: 398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.34 : 591.48 = 288.92 : x
  2. Step 2: Convert to fraction form
    428.34/591.48 = 288.92/x
  3. Step 3: Cross multiply
    428.34x = 591.48 × 288.92
  4. Step 4: Simplify right side
    428.34x = 170,890.87
  5. Step 5: Solve for x
    x = 170,890.87/428.34
  6. Step 6: Final answer
    x = 398.96

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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.