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Finding the Fourth Proportional to 428.13, 591.11 and 288.46

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Solution

The fourth proportional to 428.13, 591.11 and 288.46 is: 398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.13 : 591.11 = 288.46 : x
  2. Step 2: Convert to fraction form
    428.13/591.11 = 288.46/x
  3. Step 3: Cross multiply
    428.13x = 591.11 × 288.46
  4. Step 4: Simplify right side
    428.13x = 170,507.19
  5. Step 5: Solve for x
    x = 170,507.19/428.13
  6. Step 6: Final answer
    x = 398.26

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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.