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Finding the Fourth Proportional to 260.98, 359.99 and 156.00

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Solution

The fourth proportional to 260.98, 359.99 and 156.00 is: 215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.98 : 359.99 = 156.00 : x
  2. Step 2: Convert to fraction form
    260.98/359.99 = 156.00/x
  3. Step 3: Cross multiply
    260.98x = 359.99 × 156.00
  4. Step 4: Simplify right side
    260.98x = 56,157.57
  5. Step 5: Solve for x
    x = 56,157.57/260.98
  6. Step 6: Final answer
    x = 215.18

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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.