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Finding the Fourth Proportional to 260.02, 391.61 and 236.98

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Solution

The fourth proportional to 260.02, 391.61 and 236.98 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.02 : 391.61 = 236.98 : x
  2. Step 2: Convert to fraction form
    260.02/391.61 = 236.98/x
  3. Step 3: Cross multiply
    260.02x = 391.61 × 236.98
  4. Step 4: Simplify right side
    260.02x = 92,803.74
  5. Step 5: Solve for x
    x = 92,803.74/260.02
  6. Step 6: Final answer
    x = 356.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.