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Finding the Fourth Proportional to 507.36, 760.94 and 243.66

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Solution

The fourth proportional to 507.36, 760.94 and 243.66 is: 365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.36 : 760.94 = 243.66 : x
  2. Step 2: Convert to fraction form
    507.36/760.94 = 243.66/x
  3. Step 3: Cross multiply
    507.36x = 760.94 × 243.66
  4. Step 4: Simplify right side
    507.36x = 185,410.64
  5. Step 5: Solve for x
    x = 185,410.64/507.36
  6. Step 6: Final answer
    x = 365.44

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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.