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Finding the Fourth Proportional to 508.50, 762.21 and 303.12

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Solution

The fourth proportional to 508.50, 762.21 and 303.12 is: 454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 762.21 = 303.12 : x
  2. Step 2: Convert to fraction form
    508.50/762.21 = 303.12/x
  3. Step 3: Cross multiply
    508.50x = 762.21 × 303.12
  4. Step 4: Simplify right side
    508.50x = 231,041.10
  5. Step 5: Solve for x
    x = 231,041.10/508.50
  6. Step 6: Final answer
    x = 454.36

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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.