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Finding the Fourth Proportional to 570.09, 855.13 and 241.08

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Solution

The fourth proportional to 570.09, 855.13 and 241.08 is: 361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.09 : 855.13 = 241.08 : x
  2. Step 2: Convert to fraction form
    570.09/855.13 = 241.08/x
  3. Step 3: Cross multiply
    570.09x = 855.13 × 241.08
  4. Step 4: Simplify right side
    570.09x = 206,150.46
  5. Step 5: Solve for x
    x = 206,150.46/570.09
  6. Step 6: Final answer
    x = 361.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.