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Finding the Fourth Proportional to 610.20, 842.00 and 361.53

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Solution

The fourth proportional to 610.20, 842.00 and 361.53 is: 498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 842.00 = 361.53 : x
  2. Step 2: Convert to fraction form
    610.20/842.00 = 361.53/x
  3. Step 3: Cross multiply
    610.20x = 842.00 × 361.53
  4. Step 4: Simplify right side
    610.20x = 304,406.45
  5. Step 5: Solve for x
    x = 304,406.45/610.20
  6. Step 6: Final answer
    x = 498.86

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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.