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Finding the Fourth Proportional to 483.21, 725.19 and 240

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Solution

The fourth proportional to 483.21, 725.19 and 240 is: 360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.21 : 725.19 = 240 : x
  2. Step 2: Convert to fraction form
    483.21/725.19 = 240/x
  3. Step 3: Cross multiply
    483.21x = 725.19 × 240
  4. Step 4: Simplify right side
    483.21x = 174,045.60
  5. Step 5: Solve for x
    x = 174,045.60/483.21
  6. Step 6: Final answer
    x = 360.19

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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.