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Finding the Fourth Proportional to 260.70, 358.67 and 259.49

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Solution

The fourth proportional to 260.70, 358.67 and 259.49 is: 356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 358.67 = 259.49 : x
  2. Step 2: Convert to fraction form
    260.70/358.67 = 259.49/x
  3. Step 3: Cross multiply
    260.70x = 358.67 × 259.49
  4. Step 4: Simplify right side
    260.70x = 93,068.19
  5. Step 5: Solve for x
    x = 93,068.19/260.70
  6. Step 6: Final answer
    x = 356.99

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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.