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Finding the Fourth Proportional to 527.22, 790.14 and 234.62

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Solution

The fourth proportional to 527.22, 790.14 and 234.62 is: 351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.22 : 790.14 = 234.62 : x
  2. Step 2: Convert to fraction form
    527.22/790.14 = 234.62/x
  3. Step 3: Cross multiply
    527.22x = 790.14 × 234.62
  4. Step 4: Simplify right side
    527.22x = 185,382.65
  5. Step 5: Solve for x
    x = 185,382.65/527.22
  6. Step 6: Final answer
    x = 351.62

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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.