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Finding the Fourth Proportional to 509.11, 763.54 and 143.88

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Solution

The fourth proportional to 509.11, 763.54 and 143.88 is: 215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 763.54 = 143.88 : x
  2. Step 2: Convert to fraction form
    509.11/763.54 = 143.88/x
  3. Step 3: Cross multiply
    509.11x = 763.54 × 143.88
  4. Step 4: Simplify right side
    509.11x = 109,858.14
  5. Step 5: Solve for x
    x = 109,858.14/509.11
  6. Step 6: Final answer
    x = 215.78

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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.