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Finding the Fourth Proportional to 582.18, 872.40 and 216.60

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Solution

The fourth proportional to 582.18, 872.40 and 216.60 is: 324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.18 : 872.40 = 216.60 : x
  2. Step 2: Convert to fraction form
    582.18/872.40 = 216.60/x
  3. Step 3: Cross multiply
    582.18x = 872.40 × 216.60
  4. Step 4: Simplify right side
    582.18x = 188,961.84
  5. Step 5: Solve for x
    x = 188,961.84/582.18
  6. Step 6: Final answer
    x = 324.58

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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.