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Finding the Fourth Proportional to 357.15, 535.41 and 125.85

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Solution

The fourth proportional to 357.15, 535.41 and 125.85 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.15 : 535.41 = 125.85 : x
  2. Step 2: Convert to fraction form
    357.15/535.41 = 125.85/x
  3. Step 3: Cross multiply
    357.15x = 535.41 × 125.85
  4. Step 4: Simplify right side
    357.15x = 67,381.35
  5. Step 5: Solve for x
    x = 67,381.35/357.15
  6. Step 6: Final answer
    x = 188.66

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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.