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Finding the Fourth Proportional to 508.85, 762.74 and 235.12

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Solution

The fourth proportional to 508.85, 762.74 and 235.12 is: 352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.85 : 762.74 = 235.12 : x
  2. Step 2: Convert to fraction form
    508.85/762.74 = 235.12/x
  3. Step 3: Cross multiply
    508.85x = 762.74 × 235.12
  4. Step 4: Simplify right side
    508.85x = 179,338.13
  5. Step 5: Solve for x
    x = 179,338.13/508.85
  6. Step 6: Final answer
    x = 352.44

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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.