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Finding the Fourth Proportional to 428.83, 591.42 and 279.40

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Solution

The fourth proportional to 428.83, 591.42 and 279.40 is: 385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.83 : 591.42 = 279.40 : x
  2. Step 2: Convert to fraction form
    428.83/591.42 = 279.40/x
  3. Step 3: Cross multiply
    428.83x = 591.42 × 279.40
  4. Step 4: Simplify right side
    428.83x = 165,242.77
  5. Step 5: Solve for x
    x = 165,242.77/428.83
  6. Step 6: Final answer
    x = 385.33

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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.