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Finding the Fourth Proportional to 550.78, 760.20 and 318.04

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Solution

The fourth proportional to 550.78, 760.20 and 318.04 is: 438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 760.20 = 318.04 : x
  2. Step 2: Convert to fraction form
    550.78/760.20 = 318.04/x
  3. Step 3: Cross multiply
    550.78x = 760.20 × 318.04
  4. Step 4: Simplify right side
    550.78x = 241,774.01
  5. Step 5: Solve for x
    x = 241,774.01/550.78
  6. Step 6: Final answer
    x = 438.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.