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Finding the Fourth Proportional to 428.17, 590.19 and 361.75

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Solution

The fourth proportional to 428.17, 590.19 and 361.75 is: 498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.17 : 590.19 = 361.75 : x
  2. Step 2: Convert to fraction form
    428.17/590.19 = 361.75/x
  3. Step 3: Cross multiply
    428.17x = 590.19 × 361.75
  4. Step 4: Simplify right side
    428.17x = 213,501.23
  5. Step 5: Solve for x
    x = 213,501.23/428.17
  6. Step 6: Final answer
    x = 498.64

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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.