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Finding the Fourth Proportional to 357.19, 535.85 and 164.81

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Solution

The fourth proportional to 357.19, 535.85 and 164.81 is: 247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.19 : 535.85 = 164.81 : x
  2. Step 2: Convert to fraction form
    357.19/535.85 = 164.81/x
  3. Step 3: Cross multiply
    357.19x = 535.85 × 164.81
  4. Step 4: Simplify right side
    357.19x = 88,314.57
  5. Step 5: Solve for x
    x = 88,314.57/357.19
  6. Step 6: Final answer
    x = 247.25

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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.