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Finding the Fourth Proportional to 357.15, 535.69 and 113.61

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Solution

The fourth proportional to 357.15, 535.69 and 113.61 is: 170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.15 : 535.69 = 113.61 : x
  2. Step 2: Convert to fraction form
    357.15/535.69 = 113.61/x
  3. Step 3: Cross multiply
    357.15x = 535.69 × 113.61
  4. Step 4: Simplify right side
    357.15x = 60,859.74
  5. Step 5: Solve for x
    x = 60,859.74/357.15
  6. Step 6: Final answer
    x = 170.40

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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.