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Finding the Fourth Proportional to 417.12, 574.36 and 361.88

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Solution

The fourth proportional to 417.12, 574.36 and 361.88 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.12 : 574.36 = 361.88 : x
  2. Step 2: Convert to fraction form
    417.12/574.36 = 361.88/x
  3. Step 3: Cross multiply
    417.12x = 574.36 × 361.88
  4. Step 4: Simplify right side
    417.12x = 207,849.40
  5. Step 5: Solve for x
    x = 207,849.40/417.12
  6. Step 6: Final answer
    x = 498.30

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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.