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Finding the Fourth Proportional to 260.10, 358.60 and 213.42

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Solution

The fourth proportional to 260.10, 358.60 and 213.42 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.10 : 358.60 = 213.42 : x
  2. Step 2: Convert to fraction form
    260.10/358.60 = 213.42/x
  3. Step 3: Cross multiply
    260.10x = 358.60 × 213.42
  4. Step 4: Simplify right side
    260.10x = 76,532.41
  5. Step 5: Solve for x
    x = 76,532.41/260.10
  6. Step 6: Final answer
    x = 294.24

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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.