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Finding the Fourth Proportional to 260.76, 360.02 and 201.64

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Solution

The fourth proportional to 260.76, 360.02 and 201.64 is: 278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 360.02 = 201.64 : x
  2. Step 2: Convert to fraction form
    260.76/360.02 = 201.64/x
  3. Step 3: Cross multiply
    260.76x = 360.02 × 201.64
  4. Step 4: Simplify right side
    260.76x = 72,594.43
  5. Step 5: Solve for x
    x = 72,594.43/260.76
  6. Step 6: Final answer
    x = 278.40

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Find fourth proportional to 130.38, 180.01 and 100.82
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.