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Finding the Fourth Proportional to 610.10, 842.09 and 361.63

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Solution

The fourth proportional to 610.10, 842.09 and 361.63 is: 499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.10 : 842.09 = 361.63 : x
  2. Step 2: Convert to fraction form
    610.10/842.09 = 361.63/x
  3. Step 3: Cross multiply
    610.10x = 842.09 × 361.63
  4. Step 4: Simplify right side
    610.10x = 304,525.01
  5. Step 5: Solve for x
    x = 304,525.01/610.10
  6. Step 6: Final answer
    x = 499.14

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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.