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Finding the Fourth Proportional to 428.85, 592.03 and 271.65

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Solution

The fourth proportional to 428.85, 592.03 and 271.65 is: 375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.85 : 592.03 = 271.65 : x
  2. Step 2: Convert to fraction form
    428.85/592.03 = 271.65/x
  3. Step 3: Cross multiply
    428.85x = 592.03 × 271.65
  4. Step 4: Simplify right side
    428.85x = 160,822.33
  5. Step 5: Solve for x
    x = 160,822.33/428.85
  6. Step 6: Final answer
    x = 375.01

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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.