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Finding the Fourth Proportional to 509.06, 763.08 and 200.49

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Solution

The fourth proportional to 509.06, 763.08 and 200.49 is: 300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.06 : 763.08 = 200.49 : x
  2. Step 2: Convert to fraction form
    509.06/763.08 = 200.49/x
  3. Step 3: Cross multiply
    509.06x = 763.08 × 200.49
  4. Step 4: Simplify right side
    509.06x = 152,989.92
  5. Step 5: Solve for x
    x = 152,989.92/509.06
  6. Step 6: Final answer
    x = 300.53

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Similar ratio
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1.5x scale

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.