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Finding the Fourth Proportional to 357.51, 535.99 and 165.09

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Solution

The fourth proportional to 357.51, 535.99 and 165.09 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.51 : 535.99 = 165.09 : x
  2. Step 2: Convert to fraction form
    357.51/535.99 = 165.09/x
  3. Step 3: Cross multiply
    357.51x = 535.99 × 165.09
  4. Step 4: Simplify right side
    357.51x = 88,486.59
  5. Step 5: Solve for x
    x = 88,486.59/357.51
  6. Step 6: Final answer
    x = 247.51

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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.