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Finding the Fourth Proportional to 260.22, 358.99 and 155.25

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Solution

The fourth proportional to 260.22, 358.99 and 155.25 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 358.99 = 155.25 : x
  2. Step 2: Convert to fraction form
    260.22/358.99 = 155.25/x
  3. Step 3: Cross multiply
    260.22x = 358.99 × 155.25
  4. Step 4: Simplify right side
    260.22x = 55,732.81
  5. Step 5: Solve for x
    x = 55,732.81/260.22
  6. Step 6: Final answer
    x = 214.18

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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.