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Finding the Fourth Proportional to 428.36, 591.07 and 271.02

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Solution

The fourth proportional to 428.36, 591.07 and 271.02 is: 373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 591.07 = 271.02 : x
  2. Step 2: Convert to fraction form
    428.36/591.07 = 271.02/x
  3. Step 3: Cross multiply
    428.36x = 591.07 × 271.02
  4. Step 4: Simplify right side
    428.36x = 160,191.79
  5. Step 5: Solve for x
    x = 160,191.79/428.36
  6. Step 6: Final answer
    x = 373.97

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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.