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Finding the Fourth Proportional to 428.89, 592.16 and 281.78

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Solution

The fourth proportional to 428.89, 592.16 and 281.78 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.89 : 592.16 = 281.78 : x
  2. Step 2: Convert to fraction form
    428.89/592.16 = 281.78/x
  3. Step 3: Cross multiply
    428.89x = 592.16 × 281.78
  4. Step 4: Simplify right side
    428.89x = 166,858.84
  5. Step 5: Solve for x
    x = 166,858.84/428.89
  6. Step 6: Final answer
    x = 389.05

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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.