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Finding the Fourth Proportional to 260.76, 360 and 173.64

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Solution

The fourth proportional to 260.76, 360 and 173.64 is: 239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 360 = 173.64 : x
  2. Step 2: Convert to fraction form
    260.76/360 = 173.64/x
  3. Step 3: Cross multiply
    260.76x = 360 × 173.64
  4. Step 4: Simplify right side
    260.76x = 62,510.40
  5. Step 5: Solve for x
    x = 62,510.40/260.76
  6. Step 6: Final answer
    x = 239.72

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1.5x scale

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.