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Finding the Fourth Proportional to 509.28, 763.86 and 180.18

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Solution

The fourth proportional to 509.28, 763.86 and 180.18 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 763.86 = 180.18 : x
  2. Step 2: Convert to fraction form
    509.28/763.86 = 180.18/x
  3. Step 3: Cross multiply
    509.28x = 763.86 × 180.18
  4. Step 4: Simplify right side
    509.28x = 137,632.29
  5. Step 5: Solve for x
    x = 137,632.29/509.28
  6. Step 6: Final answer
    x = 270.25

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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.