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Finding the Fourth Proportional to 509.49, 764.64 and 266.09

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Solution

The fourth proportional to 509.49, 764.64 and 266.09 is: 399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 764.64 = 266.09 : x
  2. Step 2: Convert to fraction form
    509.49/764.64 = 266.09/x
  3. Step 3: Cross multiply
    509.49x = 764.64 × 266.09
  4. Step 4: Simplify right side
    509.49x = 203,459.23
  5. Step 5: Solve for x
    x = 203,459.23/509.49
  6. Step 6: Final answer
    x = 399.34

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Double scale
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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.