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Finding the Fourth Proportional to 581.53, 872.37 and 234.80

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Solution

The fourth proportional to 581.53, 872.37 and 234.80 is: 352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.53 : 872.37 = 234.80 : x
  2. Step 2: Convert to fraction form
    581.53/872.37 = 234.80/x
  3. Step 3: Cross multiply
    581.53x = 872.37 × 234.80
  4. Step 4: Simplify right side
    581.53x = 204,831.39
  5. Step 5: Solve for x
    x = 204,831.39/581.53
  6. Step 6: Final answer
    x = 352.23

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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.