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Finding the Fourth Proportional to 260.28, 388.53 and 237.60

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Solution

The fourth proportional to 260.28, 388.53 and 237.60 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.28 : 388.53 = 237.60 : x
  2. Step 2: Convert to fraction form
    260.28/388.53 = 237.60/x
  3. Step 3: Cross multiply
    260.28x = 388.53 × 237.60
  4. Step 4: Simplify right side
    260.28x = 92,314.73
  5. Step 5: Solve for x
    x = 92,314.73/260.28
  6. Step 6: Final answer
    x = 354.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.