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Finding the Fourth Proportional to 357.06, 534.57 and 234.95

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Solution

The fourth proportional to 357.06, 534.57 and 234.95 is: 351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.06 : 534.57 = 234.95 : x
  2. Step 2: Convert to fraction form
    357.06/534.57 = 234.95/x
  3. Step 3: Cross multiply
    357.06x = 534.57 × 234.95
  4. Step 4: Simplify right side
    357.06x = 125,597.22
  5. Step 5: Solve for x
    x = 125,597.22/357.06
  6. Step 6: Final answer
    x = 351.75

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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.