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Finding the Fourth Proportional to 509.22, 762.82 and 303.18

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Solution

The fourth proportional to 509.22, 762.82 and 303.18 is: 454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.22 : 762.82 = 303.18 : x
  2. Step 2: Convert to fraction form
    509.22/762.82 = 303.18/x
  3. Step 3: Cross multiply
    509.22x = 762.82 × 303.18
  4. Step 4: Simplify right side
    509.22x = 231,271.77
  5. Step 5: Solve for x
    x = 231,271.77/509.22
  6. Step 6: Final answer
    x = 454.17

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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.