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Finding the Fourth Proportional to 500.25, 749.46 and 368.80

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Solution

The fourth proportional to 500.25, 749.46 and 368.80 is: 552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 749.46 = 368.80 : x
  2. Step 2: Convert to fraction form
    500.25/749.46 = 368.80/x
  3. Step 3: Cross multiply
    500.25x = 749.46 × 368.80
  4. Step 4: Simplify right side
    500.25x = 276,395.26
  5. Step 5: Solve for x
    x = 276,395.26/500.25
  6. Step 6: Final answer
    x = 552.52

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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.