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Finding the Fourth Proportional to 550.40, 758.26 and 384.31

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Solution

The fourth proportional to 550.40, 758.26 and 384.31 is: 529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 758.26 = 384.31 : x
  2. Step 2: Convert to fraction form
    550.40/758.26 = 384.31/x
  3. Step 3: Cross multiply
    550.40x = 758.26 × 384.31
  4. Step 4: Simplify right side
    550.40x = 291,406.90
  5. Step 5: Solve for x
    x = 291,406.90/550.40
  6. Step 6: Final answer
    x = 529.45

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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.