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Finding the Fourth Proportional to 509.14, 763.36 and 184.47

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Solution

The fourth proportional to 509.14, 763.36 and 184.47 is: 276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 763.36 = 184.47 : x
  2. Step 2: Convert to fraction form
    509.14/763.36 = 184.47/x
  3. Step 3: Cross multiply
    509.14x = 763.36 × 184.47
  4. Step 4: Simplify right side
    509.14x = 140,817.02
  5. Step 5: Solve for x
    x = 140,817.02/509.14
  6. Step 6: Final answer
    x = 276.58

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Similar ratio
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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.